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Finding the Fourth Proportional to 5,532.54, 7,632.92 and 3,142.18

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Solution

The fourth proportional to 5,532.54, 7,632.92 and 3,142.18 is: 4,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.54 : 7,632.92 = 3,142.18 : x
  2. Step 2: Convert to fraction form
    5,532.54/7,632.92 = 3,142.18/x
  3. Step 3: Cross multiply
    5,532.54x = 7,632.92 × 3,142.18
  4. Step 4: Simplify right side
    5,532.54x = 23,984,008.57
  5. Step 5: Solve for x
    x = 23,984,008.57/5,532.54
  6. Step 6: Final answer
    x = 4,335.08

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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.