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Finding the Fourth Proportional to 5,122.85, 7,680.02 and 3,565.89

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Solution

The fourth proportional to 5,122.85, 7,680.02 and 3,565.89 is: 5,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.85 : 7,680.02 = 3,565.89 : x
  2. Step 2: Convert to fraction form
    5,122.85/7,680.02 = 3,565.89/x
  3. Step 3: Cross multiply
    5,122.85x = 7,680.02 × 3,565.89
  4. Step 4: Simplify right side
    5,122.85x = 27,386,088.69
  5. Step 5: Solve for x
    x = 27,386,088.69/5,122.85
  6. Step 6: Final answer
    x = 5,345.87

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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.