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Finding the Fourth Proportional to 3,691.30, 5,096.22 and 2,571.76

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Solution

The fourth proportional to 3,691.30, 5,096.22 and 2,571.76 is: 3,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.30 : 5,096.22 = 2,571.76 : x
  2. Step 2: Convert to fraction form
    3,691.30/5,096.22 = 2,571.76/x
  3. Step 3: Cross multiply
    3,691.30x = 5,096.22 × 2,571.76
  4. Step 4: Simplify right side
    3,691.30x = 13,106,254.75
  5. Step 5: Solve for x
    x = 13,106,254.75/3,691.30
  6. Step 6: Final answer
    x = 3,550.58

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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.