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Finding the Fourth Proportional to 3,902.40, 5,384.88 and 3,116.16

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Solution

The fourth proportional to 3,902.40, 5,384.88 and 3,116.16 is: 4,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.40 : 5,384.88 = 3,116.16 : x
  2. Step 2: Convert to fraction form
    3,902.40/5,384.88 = 3,116.16/x
  3. Step 3: Cross multiply
    3,902.40x = 5,384.88 × 3,116.16
  4. Step 4: Simplify right side
    3,902.40x = 16,780,147.66
  5. Step 5: Solve for x
    x = 16,780,147.66/3,902.40
  6. Step 6: Final answer
    x = 4,299.96

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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.