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Finding the Fourth Proportional to 5,471.91, 8,155.88 and 5,160.56

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Solution

The fourth proportional to 5,471.91, 8,155.88 and 5,160.56 is: 7,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.91 : 8,155.88 = 5,160.56 : x
  2. Step 2: Convert to fraction form
    5,471.91/8,155.88 = 5,160.56/x
  3. Step 3: Cross multiply
    5,471.91x = 8,155.88 × 5,160.56
  4. Step 4: Simplify right side
    5,471.91x = 42,088,841.51
  5. Step 5: Solve for x
    x = 42,088,841.51/5,471.91
  6. Step 6: Final answer
    x = 7,691.80

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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.