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Finding the Fourth Proportional to 4,282.57, 6,419.14 and 2,801.18

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Solution

The fourth proportional to 4,282.57, 6,419.14 and 2,801.18 is: 4,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.57 : 6,419.14 = 2,801.18 : x
  2. Step 2: Convert to fraction form
    4,282.57/6,419.14 = 2,801.18/x
  3. Step 3: Cross multiply
    4,282.57x = 6,419.14 × 2,801.18
  4. Step 4: Simplify right side
    4,282.57x = 17,981,152.58
  5. Step 5: Solve for x
    x = 17,981,152.58/4,282.57
  6. Step 6: Final answer
    x = 4,198.69

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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.