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Finding the Fourth Proportional to 3,642.57, 5,026.46 and 2,226.15

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Solution

The fourth proportional to 3,642.57, 5,026.46 and 2,226.15 is: 3,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.57 : 5,026.46 = 2,226.15 : x
  2. Step 2: Convert to fraction form
    3,642.57/5,026.46 = 2,226.15/x
  3. Step 3: Cross multiply
    3,642.57x = 5,026.46 × 2,226.15
  4. Step 4: Simplify right side
    3,642.57x = 11,189,642.80
  5. Step 5: Solve for x
    x = 11,189,642.80/3,642.57
  6. Step 6: Final answer
    x = 3,071.91

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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.