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Finding the Fourth Proportional to 5,685.77, 7,789.55 and 5,472.71

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Solution

The fourth proportional to 5,685.77, 7,789.55 and 5,472.71 is: 7,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.77 : 7,789.55 = 5,472.71 : x
  2. Step 2: Convert to fraction form
    5,685.77/7,789.55 = 5,472.71/x
  3. Step 3: Cross multiply
    5,685.77x = 7,789.55 × 5,472.71
  4. Step 4: Simplify right side
    5,685.77x = 42,629,948.18
  5. Step 5: Solve for x
    x = 42,629,948.18/5,685.77
  6. Step 6: Final answer
    x = 7,497.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.