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Finding the Fourth Proportional to 5,732.96, 7,909.68 and 3,214.70

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Solution

The fourth proportional to 5,732.96, 7,909.68 and 3,214.70 is: 4,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.96 : 7,909.68 = 3,214.70 : x
  2. Step 2: Convert to fraction form
    5,732.96/7,909.68 = 3,214.70/x
  3. Step 3: Cross multiply
    5,732.96x = 7,909.68 × 3,214.70
  4. Step 4: Simplify right side
    5,732.96x = 25,427,248.30
  5. Step 5: Solve for x
    x = 25,427,248.30/5,732.96
  6. Step 6: Final answer
    x = 4,435.27

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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.