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Finding the Fourth Proportional to 3,731.96, 5,150.22 and 2,798.84

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Solution

The fourth proportional to 3,731.96, 5,150.22 and 2,798.84 is: 3,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.96 : 5,150.22 = 2,798.84 : x
  2. Step 2: Convert to fraction form
    3,731.96/5,150.22 = 2,798.84/x
  3. Step 3: Cross multiply
    3,731.96x = 5,150.22 × 2,798.84
  4. Step 4: Simplify right side
    3,731.96x = 14,414,641.74
  5. Step 5: Solve for x
    x = 14,414,641.74/3,731.96
  6. Step 6: Final answer
    x = 3,862.49

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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.