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Finding the Fourth Proportional to 3,754.57, 5,630.49 and 1,288.72

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Solution

The fourth proportional to 3,754.57, 5,630.49 and 1,288.72 is: 1,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.57 : 5,630.49 = 1,288.72 : x
  2. Step 2: Convert to fraction form
    3,754.57/5,630.49 = 1,288.72/x
  3. Step 3: Cross multiply
    3,754.57x = 5,630.49 × 1,288.72
  4. Step 4: Simplify right side
    3,754.57x = 7,256,125.07
  5. Step 5: Solve for x
    x = 7,256,125.07/3,754.57
  6. Step 6: Final answer
    x = 1,932.61

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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.