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Finding the Fourth Proportional to 5,537, 7,632.15 and 4,042.55

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Solution

The fourth proportional to 5,537, 7,632.15 and 4,042.55 is: 5,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537 : 7,632.15 = 4,042.55 : x
  2. Step 2: Convert to fraction form
    5,537/7,632.15 = 4,042.55/x
  3. Step 3: Cross multiply
    5,537x = 7,632.15 × 4,042.55
  4. Step 4: Simplify right side
    5,537x = 30,853,347.98
  5. Step 5: Solve for x
    x = 30,853,347.98/5,537
  6. Step 6: Final answer
    x = 5,572.21

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