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Finding the Fourth Proportional to 5,710,673.16, 7,880,949.54 and 3,132,462.60

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Solution

The fourth proportional to 5,710,673.16, 7,880,949.54 and 3,132,462.60 is: 4,322,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,673.16 : 7,880,949.54 = 3,132,462.60 : x
  2. Step 2: Convert to fraction form
    5,710,673.16/7,880,949.54 = 3,132,462.60/x
  3. Step 3: Cross multiply
    5,710,673.16x = 7,880,949.54 × 3,132,462.60
  4. Step 4: Simplify right side
    5,710,673.16x = 24,686,779,686,537.20
  5. Step 5: Solve for x
    x = 24,686,779,686,537.20/5,710,673.16
  6. Step 6: Final answer
    x = 4,322,919.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.