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Finding the Fourth Proportional to 3,407.91, 4,704.12 and 2,288.22

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Solution

The fourth proportional to 3,407.91, 4,704.12 and 2,288.22 is: 3,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.91 : 4,704.12 = 2,288.22 : x
  2. Step 2: Convert to fraction form
    3,407.91/4,704.12 = 2,288.22/x
  3. Step 3: Cross multiply
    3,407.91x = 4,704.12 × 2,288.22
  4. Step 4: Simplify right side
    3,407.91x = 10,764,061.47
  5. Step 5: Solve for x
    x = 10,764,061.47/3,407.91
  6. Step 6: Final answer
    x = 3,158.55

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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.