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Finding the Fourth Proportional to 5,367.16, 8,049.28 and 1,470.64

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Solution

The fourth proportional to 5,367.16, 8,049.28 and 1,470.64 is: 2,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.16 : 8,049.28 = 1,470.64 : x
  2. Step 2: Convert to fraction form
    5,367.16/8,049.28 = 1,470.64/x
  3. Step 3: Cross multiply
    5,367.16x = 8,049.28 × 1,470.64
  4. Step 4: Simplify right side
    5,367.16x = 11,837,593.14
  5. Step 5: Solve for x
    x = 11,837,593.14/5,367.16
  6. Step 6: Final answer
    x = 2,205.56

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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.