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Finding the Fourth Proportional to 5,424.57, 8,138.22 and 2,504.91

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Solution

The fourth proportional to 5,424.57, 8,138.22 and 2,504.91 is: 3,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.57 : 8,138.22 = 2,504.91 : x
  2. Step 2: Convert to fraction form
    5,424.57/8,138.22 = 2,504.91/x
  3. Step 3: Cross multiply
    5,424.57x = 8,138.22 × 2,504.91
  4. Step 4: Simplify right side
    5,424.57x = 20,385,508.66
  5. Step 5: Solve for x
    x = 20,385,508.66/5,424.57
  6. Step 6: Final answer
    x = 3,758.00

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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.