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Finding the Fourth Proportional to 3,754.32, 5,630.13 and 1,288.49

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Solution

The fourth proportional to 3,754.32, 5,630.13 and 1,288.49 is: 1,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.32 : 5,630.13 = 1,288.49 : x
  2. Step 2: Convert to fraction form
    3,754.32/5,630.13 = 1,288.49/x
  3. Step 3: Cross multiply
    3,754.32x = 5,630.13 × 1,288.49
  4. Step 4: Simplify right side
    3,754.32x = 7,254,338.05
  5. Step 5: Solve for x
    x = 7,254,338.05/3,754.32
  6. Step 6: Final answer
    x = 1,932.26

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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.