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Finding the Fourth Proportional to 3,424.64, 4,728.32 and 2,247.71

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Solution

The fourth proportional to 3,424.64, 4,728.32 and 2,247.71 is: 3,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.64 : 4,728.32 = 2,247.71 : x
  2. Step 2: Convert to fraction form
    3,424.64/4,728.32 = 2,247.71/x
  3. Step 3: Cross multiply
    3,424.64x = 4,728.32 × 2,247.71
  4. Step 4: Simplify right side
    3,424.64x = 10,627,857.27
  5. Step 5: Solve for x
    x = 10,627,857.27/3,424.64
  6. Step 6: Final answer
    x = 3,103.35

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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.