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Finding the Fourth Proportional to 3,188.52, 4,754.88 and 3,159.36

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Solution

The fourth proportional to 3,188.52, 4,754.88 and 3,159.36 is: 4,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.52 : 4,754.88 = 3,159.36 : x
  2. Step 2: Convert to fraction form
    3,188.52/4,754.88 = 3,159.36/x
  3. Step 3: Cross multiply
    3,188.52x = 4,754.88 × 3,159.36
  4. Step 4: Simplify right side
    3,188.52x = 15,022,377.68
  5. Step 5: Solve for x
    x = 15,022,377.68/3,188.52
  6. Step 6: Final answer
    x = 4,711.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.