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Finding the Fourth Proportional to 5,115.66, 7,658.79 and 3,154.65

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Solution

The fourth proportional to 5,115.66, 7,658.79 and 3,154.65 is: 4,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.66 : 7,658.79 = 3,154.65 : x
  2. Step 2: Convert to fraction form
    5,115.66/7,658.79 = 3,154.65/x
  3. Step 3: Cross multiply
    5,115.66x = 7,658.79 × 3,154.65
  4. Step 4: Simplify right side
    5,115.66x = 24,160,801.87
  5. Step 5: Solve for x
    x = 24,160,801.87/5,115.66
  6. Step 6: Final answer
    x = 4,722.91

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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.