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Finding the Fourth Proportional to 3,695.47, 5,099.12 and 2,202.85

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Solution

The fourth proportional to 3,695.47, 5,099.12 and 2,202.85 is: 3,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.47 : 5,099.12 = 2,202.85 : x
  2. Step 2: Convert to fraction form
    3,695.47/5,099.12 = 2,202.85/x
  3. Step 3: Cross multiply
    3,695.47x = 5,099.12 × 2,202.85
  4. Step 4: Simplify right side
    3,695.47x = 11,232,571.43
  5. Step 5: Solve for x
    x = 11,232,571.43/3,695.47
  6. Step 6: Final answer
    x = 3,039.55

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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.