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Finding the Fourth Proportional to 3,862.64, 5,782.44 and 2,491.76

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Solution

The fourth proportional to 3,862.64, 5,782.44 and 2,491.76 is: 3,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.64 : 5,782.44 = 2,491.76 : x
  2. Step 2: Convert to fraction form
    3,862.64/5,782.44 = 2,491.76/x
  3. Step 3: Cross multiply
    3,862.64x = 5,782.44 × 2,491.76
  4. Step 4: Simplify right side
    3,862.64x = 14,408,452.69
  5. Step 5: Solve for x
    x = 14,408,452.69/3,862.64
  6. Step 6: Final answer
    x = 3,730.21

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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.