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Finding the Fourth Proportional to 3,930.42, 5,424 and 2,337.15

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Solution

The fourth proportional to 3,930.42, 5,424 and 2,337.15 is: 3,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.42 : 5,424 = 2,337.15 : x
  2. Step 2: Convert to fraction form
    3,930.42/5,424 = 2,337.15/x
  3. Step 3: Cross multiply
    3,930.42x = 5,424 × 2,337.15
  4. Step 4: Simplify right side
    3,930.42x = 12,676,701.60
  5. Step 5: Solve for x
    x = 12,676,701.60/3,930.42
  6. Step 6: Final answer
    x = 3,225.28

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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.