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Finding the Fourth Proportional to 4,314.76, 6,472.06 and 2,461.20

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Solution

The fourth proportional to 4,314.76, 6,472.06 and 2,461.20 is: 3,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.76 : 6,472.06 = 2,461.20 : x
  2. Step 2: Convert to fraction form
    4,314.76/6,472.06 = 2,461.20/x
  3. Step 3: Cross multiply
    4,314.76x = 6,472.06 × 2,461.20
  4. Step 4: Simplify right side
    4,314.76x = 15,929,034.07
  5. Step 5: Solve for x
    x = 15,929,034.07/4,314.76
  6. Step 6: Final answer
    x = 3,691.75

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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.