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Finding the Fourth Proportional to 3,712.97, 5,124.60 and 2,200.84

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Solution

The fourth proportional to 3,712.97, 5,124.60 and 2,200.84 is: 3,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.97 : 5,124.60 = 2,200.84 : x
  2. Step 2: Convert to fraction form
    3,712.97/5,124.60 = 2,200.84/x
  3. Step 3: Cross multiply
    3,712.97x = 5,124.60 × 2,200.84
  4. Step 4: Simplify right side
    3,712.97x = 11,278,411.85
  5. Step 5: Solve for x
    x = 11,278,411.85/3,712.97
  6. Step 6: Final answer
    x = 3,037.57

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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.