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Finding the Fourth Proportional to 5,760.74, 8,591.50 and 5,657.06

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Solution

The fourth proportional to 5,760.74, 8,591.50 and 5,657.06 is: 8,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.74 : 8,591.50 = 5,657.06 : x
  2. Step 2: Convert to fraction form
    5,760.74/8,591.50 = 5,657.06/x
  3. Step 3: Cross multiply
    5,760.74x = 8,591.50 × 5,657.06
  4. Step 4: Simplify right side
    5,760.74x = 48,602,630.99
  5. Step 5: Solve for x
    x = 48,602,630.99/5,760.74
  6. Step 6: Final answer
    x = 8,436.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.