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Finding the Fourth Proportional to 3,978.18, 5,487.12 and 3,232.14

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Solution

The fourth proportional to 3,978.18, 5,487.12 and 3,232.14 is: 4,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.18 : 5,487.12 = 3,232.14 : x
  2. Step 2: Convert to fraction form
    3,978.18/5,487.12 = 3,232.14/x
  3. Step 3: Cross multiply
    3,978.18x = 5,487.12 × 3,232.14
  4. Step 4: Simplify right side
    3,978.18x = 17,735,140.04
  5. Step 5: Solve for x
    x = 17,735,140.04/3,978.18
  6. Step 6: Final answer
    x = 4,458.10

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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.