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Finding the Fourth Proportional to 5,657.31, 8,473.68 and 3,459.38

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Solution

The fourth proportional to 5,657.31, 8,473.68 and 3,459.38 is: 5,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.31 : 8,473.68 = 3,459.38 : x
  2. Step 2: Convert to fraction form
    5,657.31/8,473.68 = 3,459.38/x
  3. Step 3: Cross multiply
    5,657.31x = 8,473.68 × 3,459.38
  4. Step 4: Simplify right side
    5,657.31x = 29,313,636.75
  5. Step 5: Solve for x
    x = 29,313,636.75/5,657.31
  6. Step 6: Final answer
    x = 5,181.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.