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Finding the Fourth Proportional to 3,546.72, 5,319.92 and 1,356.48

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Solution

The fourth proportional to 3,546.72, 5,319.92 and 1,356.48 is: 2,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.72 : 5,319.92 = 1,356.48 : x
  2. Step 2: Convert to fraction form
    3,546.72/5,319.92 = 1,356.48/x
  3. Step 3: Cross multiply
    3,546.72x = 5,319.92 × 1,356.48
  4. Step 4: Simplify right side
    3,546.72x = 7,216,365.08
  5. Step 5: Solve for x
    x = 7,216,365.08/3,546.72
  6. Step 6: Final answer
    x = 2,034.66

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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.