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Finding the Fourth Proportional to 5,011.74, 7,517.88 and 1,549.26

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Solution

The fourth proportional to 5,011.74, 7,517.88 and 1,549.26 is: 2,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.74 : 7,517.88 = 1,549.26 : x
  2. Step 2: Convert to fraction form
    5,011.74/7,517.88 = 1,549.26/x
  3. Step 3: Cross multiply
    5,011.74x = 7,517.88 × 1,549.26
  4. Step 4: Simplify right side
    5,011.74x = 11,647,150.77
  5. Step 5: Solve for x
    x = 11,647,150.77/5,011.74
  6. Step 6: Final answer
    x = 2,323.97

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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.