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Finding the Fourth Proportional to 5,143.59, 7,098.17 and 2,785.73

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Solution

The fourth proportional to 5,143.59, 7,098.17 and 2,785.73 is: 3,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.59 : 7,098.17 = 2,785.73 : x
  2. Step 2: Convert to fraction form
    5,143.59/7,098.17 = 2,785.73/x
  3. Step 3: Cross multiply
    5,143.59x = 7,098.17 × 2,785.73
  4. Step 4: Simplify right side
    5,143.59x = 19,773,604.77
  5. Step 5: Solve for x
    x = 19,773,604.77/5,143.59
  6. Step 6: Final answer
    x = 3,844.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.