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Finding the Fourth Proportional to 5,673.74, 7,829.50 and 3,156.02

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Solution

The fourth proportional to 5,673.74, 7,829.50 and 3,156.02 is: 4,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.74 : 7,829.50 = 3,156.02 : x
  2. Step 2: Convert to fraction form
    5,673.74/7,829.50 = 3,156.02/x
  3. Step 3: Cross multiply
    5,673.74x = 7,829.50 × 3,156.02
  4. Step 4: Simplify right side
    5,673.74x = 24,710,058.59
  5. Step 5: Solve for x
    x = 24,710,058.59/5,673.74
  6. Step 6: Final answer
    x = 4,355.16

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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.