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Finding the Fourth Proportional to 3,718.64, 5,129.85 and 2,226.17

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Solution

The fourth proportional to 3,718.64, 5,129.85 and 2,226.17 is: 3,070.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.64 : 5,129.85 = 2,226.17 : x
  2. Step 2: Convert to fraction form
    3,718.64/5,129.85 = 2,226.17/x
  3. Step 3: Cross multiply
    3,718.64x = 5,129.85 × 2,226.17
  4. Step 4: Simplify right side
    3,718.64x = 11,419,892.53
  5. Step 5: Solve for x
    x = 11,419,892.53/3,718.64
  6. Step 6: Final answer
    x = 3,070.99

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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.