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Finding the Fourth Proportional to 4,451.76, 6,143.67 and 2,462.31

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Solution

The fourth proportional to 4,451.76, 6,143.67 and 2,462.31 is: 3,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.76 : 6,143.67 = 2,462.31 : x
  2. Step 2: Convert to fraction form
    4,451.76/6,143.67 = 2,462.31/x
  3. Step 3: Cross multiply
    4,451.76x = 6,143.67 × 2,462.31
  4. Step 4: Simplify right side
    4,451.76x = 15,127,620.08
  5. Step 5: Solve for x
    x = 15,127,620.08/4,451.76
  6. Step 6: Final answer
    x = 3,398.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.