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Finding the Fourth Proportional to 5,609.66, 8,414.48 and 2,320.65

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Solution

The fourth proportional to 5,609.66, 8,414.48 and 2,320.65 is: 3,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.66 : 8,414.48 = 2,320.65 : x
  2. Step 2: Convert to fraction form
    5,609.66/8,414.48 = 2,320.65/x
  3. Step 3: Cross multiply
    5,609.66x = 8,414.48 × 2,320.65
  4. Step 4: Simplify right side
    5,609.66x = 19,527,068.81
  5. Step 5: Solve for x
    x = 19,527,068.81/5,609.66
  6. Step 6: Final answer
    x = 3,480.98

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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.