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Finding the Fourth Proportional to 3,765.24, 5,648.02 and 1,168.12

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Solution

The fourth proportional to 3,765.24, 5,648.02 and 1,168.12 is: 1,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.24 : 5,648.02 = 1,168.12 : x
  2. Step 2: Convert to fraction form
    3,765.24/5,648.02 = 1,168.12/x
  3. Step 3: Cross multiply
    3,765.24x = 5,648.02 × 1,168.12
  4. Step 4: Simplify right side
    3,765.24x = 6,597,565.12
  5. Step 5: Solve for x
    x = 6,597,565.12/3,765.24
  6. Step 6: Final answer
    x = 1,752.23

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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.