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Finding the Fourth Proportional to 5,654.41, 8,470.58 and 3,700.69

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Solution

The fourth proportional to 5,654.41, 8,470.58 and 3,700.69 is: 5,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.41 : 8,470.58 = 3,700.69 : x
  2. Step 2: Convert to fraction form
    5,654.41/8,470.58 = 3,700.69/x
  3. Step 3: Cross multiply
    5,654.41x = 8,470.58 × 3,700.69
  4. Step 4: Simplify right side
    5,654.41x = 31,346,951.02
  5. Step 5: Solve for x
    x = 31,346,951.02/5,654.41
  6. Step 6: Final answer
    x = 5,543.81

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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.