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Finding the Fourth Proportional to 3,754.59, 5,630.49 and 1,288.71

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Solution

The fourth proportional to 3,754.59, 5,630.49 and 1,288.71 is: 1,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.59 : 5,630.49 = 1,288.71 : x
  2. Step 2: Convert to fraction form
    3,754.59/5,630.49 = 1,288.71/x
  3. Step 3: Cross multiply
    3,754.59x = 5,630.49 × 1,288.71
  4. Step 4: Simplify right side
    3,754.59x = 7,256,062.32
  5. Step 5: Solve for x
    x = 7,256,062.32/3,754.59
  6. Step 6: Final answer
    x = 1,932.58

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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.