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Finding the Fourth Proportional to 3,866.45, 5,792.19 and 2,546.24

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Solution

The fourth proportional to 3,866.45, 5,792.19 and 2,546.24 is: 3,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.45 : 5,792.19 = 2,546.24 : x
  2. Step 2: Convert to fraction form
    3,866.45/5,792.19 = 2,546.24/x
  3. Step 3: Cross multiply
    3,866.45x = 5,792.19 × 2,546.24
  4. Step 4: Simplify right side
    3,866.45x = 14,748,276.90
  5. Step 5: Solve for x
    x = 14,748,276.90/3,866.45
  6. Step 6: Final answer
    x = 3,814.43

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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.