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Finding the Fourth Proportional to 5,537.70, 7,643.07 and 3,181.38

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Solution

The fourth proportional to 5,537.70, 7,643.07 and 3,181.38 is: 4,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.70 : 7,643.07 = 3,181.38 : x
  2. Step 2: Convert to fraction form
    5,537.70/7,643.07 = 3,181.38/x
  3. Step 3: Cross multiply
    5,537.70x = 7,643.07 × 3,181.38
  4. Step 4: Simplify right side
    5,537.70x = 24,315,510.04
  5. Step 5: Solve for x
    x = 24,315,510.04/5,537.70
  6. Step 6: Final answer
    x = 4,390.90

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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.