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Finding the Fourth Proportional to 3,497.22, 5,247.66 and 2,264.31

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Solution

The fourth proportional to 3,497.22, 5,247.66 and 2,264.31 is: 3,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.22 : 5,247.66 = 2,264.31 : x
  2. Step 2: Convert to fraction form
    3,497.22/5,247.66 = 2,264.31/x
  3. Step 3: Cross multiply
    3,497.22x = 5,247.66 × 2,264.31
  4. Step 4: Simplify right side
    3,497.22x = 11,882,329.01
  5. Step 5: Solve for x
    x = 11,882,329.01/3,497.22
  6. Step 6: Final answer
    x = 3,397.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.