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Finding the Fourth Proportional to 5,385.34, 7,432.05 and 3,147.18

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Solution

The fourth proportional to 5,385.34, 7,432.05 and 3,147.18 is: 4,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.34 : 7,432.05 = 3,147.18 : x
  2. Step 2: Convert to fraction form
    5,385.34/7,432.05 = 3,147.18/x
  3. Step 3: Cross multiply
    5,385.34x = 7,432.05 × 3,147.18
  4. Step 4: Simplify right side
    5,385.34x = 23,389,999.12
  5. Step 5: Solve for x
    x = 23,389,999.12/5,385.34
  6. Step 6: Final answer
    x = 4,343.27

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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.