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Finding the Fourth Proportional to 3,798.24, 5,697.33 and 1,332.49

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Solution

The fourth proportional to 3,798.24, 5,697.33 and 1,332.49 is: 1,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.24 : 5,697.33 = 1,332.49 : x
  2. Step 2: Convert to fraction form
    3,798.24/5,697.33 = 1,332.49/x
  3. Step 3: Cross multiply
    3,798.24x = 5,697.33 × 1,332.49
  4. Step 4: Simplify right side
    3,798.24x = 7,591,635.25
  5. Step 5: Solve for x
    x = 7,591,635.25/3,798.24
  6. Step 6: Final answer
    x = 1,998.72

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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.