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Finding the Fourth Proportional to 5,470.65, 8,209.60 and 3,007.19

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Solution

The fourth proportional to 5,470.65, 8,209.60 and 3,007.19 is: 4,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.65 : 8,209.60 = 3,007.19 : x
  2. Step 2: Convert to fraction form
    5,470.65/8,209.60 = 3,007.19/x
  3. Step 3: Cross multiply
    5,470.65x = 8,209.60 × 3,007.19
  4. Step 4: Simplify right side
    5,470.65x = 24,687,827.02
  5. Step 5: Solve for x
    x = 24,687,827.02/5,470.65
  6. Step 6: Final answer
    x = 4,512.78

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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.