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Finding the Fourth Proportional to 3,188.71, 4,400.28 and 1,772.49

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Solution

The fourth proportional to 3,188.71, 4,400.28 and 1,772.49 is: 2,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.71 : 4,400.28 = 1,772.49 : x
  2. Step 2: Convert to fraction form
    3,188.71/4,400.28 = 1,772.49/x
  3. Step 3: Cross multiply
    3,188.71x = 4,400.28 × 1,772.49
  4. Step 4: Simplify right side
    3,188.71x = 7,799,452.30
  5. Step 5: Solve for x
    x = 7,799,452.30/3,188.71
  6. Step 6: Final answer
    x = 2,445.96

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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.