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Finding the Fourth Proportional to 5,666.30, 8,489.86 and 3,470.44

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Solution

The fourth proportional to 5,666.30, 8,489.86 and 3,470.44 is: 5,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.30 : 8,489.86 = 3,470.44 : x
  2. Step 2: Convert to fraction form
    5,666.30/8,489.86 = 3,470.44/x
  3. Step 3: Cross multiply
    5,666.30x = 8,489.86 × 3,470.44
  4. Step 4: Simplify right side
    5,666.30x = 29,463,532.39
  5. Step 5: Solve for x
    x = 29,463,532.39/5,666.30
  6. Step 6: Final answer
    x = 5,199.78

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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.