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Finding the Fourth Proportional to 3,188.57, 4,400.02 and 1,772.15

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Solution

The fourth proportional to 3,188.57, 4,400.02 and 1,772.15 is: 2,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.57 : 4,400.02 = 1,772.15 : x
  2. Step 2: Convert to fraction form
    3,188.57/4,400.02 = 1,772.15/x
  3. Step 3: Cross multiply
    3,188.57x = 4,400.02 × 1,772.15
  4. Step 4: Simplify right side
    3,188.57x = 7,797,495.44
  5. Step 5: Solve for x
    x = 7,797,495.44/3,188.57
  6. Step 6: Final answer
    x = 2,445.45

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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.