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Finding the Fourth Proportional to 3,708.90, 5,565.40 and 1,519.16

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Solution

The fourth proportional to 3,708.90, 5,565.40 and 1,519.16 is: 2,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.90 : 5,565.40 = 1,519.16 : x
  2. Step 2: Convert to fraction form
    3,708.90/5,565.40 = 1,519.16/x
  3. Step 3: Cross multiply
    3,708.90x = 5,565.40 × 1,519.16
  4. Step 4: Simplify right side
    3,708.90x = 8,454,743.18
  5. Step 5: Solve for x
    x = 8,454,743.18/3,708.90
  6. Step 6: Final answer
    x = 2,279.58

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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.