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Finding the Fourth Proportional to 5,565.69, 8,348.78 and 3,098.65

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Solution

The fourth proportional to 5,565.69, 8,348.78 and 3,098.65 is: 4,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.69 : 8,348.78 = 3,098.65 : x
  2. Step 2: Convert to fraction form
    5,565.69/8,348.78 = 3,098.65/x
  3. Step 3: Cross multiply
    5,565.69x = 8,348.78 × 3,098.65
  4. Step 4: Simplify right side
    5,565.69x = 25,869,934.02
  5. Step 5: Solve for x
    x = 25,869,934.02/5,565.69
  6. Step 6: Final answer
    x = 4,648.11

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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.