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Finding the Fourth Proportional to 5,144.98, 7,711.91 and 2,506.66

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Solution

The fourth proportional to 5,144.98, 7,711.91 and 2,506.66 is: 3,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.98 : 7,711.91 = 2,506.66 : x
  2. Step 2: Convert to fraction form
    5,144.98/7,711.91 = 2,506.66/x
  3. Step 3: Cross multiply
    5,144.98x = 7,711.91 × 2,506.66
  4. Step 4: Simplify right side
    5,144.98x = 19,331,085.23
  5. Step 5: Solve for x
    x = 19,331,085.23/5,144.98
  6. Step 6: Final answer
    x = 3,757.27

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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.