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Finding the Fourth Proportional to 3,422.46, 5,136.42 and 2,498.46

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Solution

The fourth proportional to 3,422.46, 5,136.42 and 2,498.46 is: 3,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.46 : 5,136.42 = 2,498.46 : x
  2. Step 2: Convert to fraction form
    3,422.46/5,136.42 = 2,498.46/x
  3. Step 3: Cross multiply
    3,422.46x = 5,136.42 × 2,498.46
  4. Step 4: Simplify right side
    3,422.46x = 12,833,139.91
  5. Step 5: Solve for x
    x = 12,833,139.91/3,422.46
  6. Step 6: Final answer
    x = 3,749.68

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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.