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Finding the Fourth Proportional to 5,144.13, 7,098.86 and 2,905.97

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Solution

The fourth proportional to 5,144.13, 7,098.86 and 2,905.97 is: 4,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.13 : 7,098.86 = 2,905.97 : x
  2. Step 2: Convert to fraction form
    5,144.13/7,098.86 = 2,905.97/x
  3. Step 3: Cross multiply
    5,144.13x = 7,098.86 × 2,905.97
  4. Step 4: Simplify right side
    5,144.13x = 20,629,024.17
  5. Step 5: Solve for x
    x = 20,629,024.17/5,144.13
  6. Step 6: Final answer
    x = 4,010.21

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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.