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Finding the Fourth Proportional to 4,172.67, 6,257.13 and 1,251.20

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Solution

The fourth proportional to 4,172.67, 6,257.13 and 1,251.20 is: 1,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.67 : 6,257.13 = 1,251.20 : x
  2. Step 2: Convert to fraction form
    4,172.67/6,257.13 = 1,251.20/x
  3. Step 3: Cross multiply
    4,172.67x = 6,257.13 × 1,251.20
  4. Step 4: Simplify right side
    4,172.67x = 7,828,889.77
  5. Step 5: Solve for x
    x = 7,828,889.77/4,172.67
  6. Step 6: Final answer
    x = 1,876.23

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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.