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Finding the Fourth Proportional to 3,753.16, 5,630.19 and 1,288.42

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Solution

The fourth proportional to 3,753.16, 5,630.19 and 1,288.42 is: 1,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.16 : 5,630.19 = 1,288.42 : x
  2. Step 2: Convert to fraction form
    3,753.16/5,630.19 = 1,288.42/x
  3. Step 3: Cross multiply
    3,753.16x = 5,630.19 × 1,288.42
  4. Step 4: Simplify right side
    3,753.16x = 7,254,049.40
  5. Step 5: Solve for x
    x = 7,254,049.40/3,753.16
  6. Step 6: Final answer
    x = 1,932.78

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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.