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Finding the Fourth Proportional to 4,522.39, 6,785.12 and 2,854.58

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Solution

The fourth proportional to 4,522.39, 6,785.12 and 2,854.58 is: 4,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.39 : 6,785.12 = 2,854.58 : x
  2. Step 2: Convert to fraction form
    4,522.39/6,785.12 = 2,854.58/x
  3. Step 3: Cross multiply
    4,522.39x = 6,785.12 × 2,854.58
  4. Step 4: Simplify right side
    4,522.39x = 19,368,633.92
  5. Step 5: Solve for x
    x = 19,368,633.92/4,522.39
  6. Step 6: Final answer
    x = 4,282.83

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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.