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Finding the Fourth Proportional to 5,098.97, 7,651.31 and 2,758.93

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Solution

The fourth proportional to 5,098.97, 7,651.31 and 2,758.93 is: 4,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.97 : 7,651.31 = 2,758.93 : x
  2. Step 2: Convert to fraction form
    5,098.97/7,651.31 = 2,758.93/x
  3. Step 3: Cross multiply
    5,098.97x = 7,651.31 × 2,758.93
  4. Step 4: Simplify right side
    5,098.97x = 21,109,428.70
  5. Step 5: Solve for x
    x = 21,109,428.70/5,098.97
  6. Step 6: Final answer
    x = 4,139.94

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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.