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Finding the Fourth Proportional to 3,523.92, 5,313.72 and 3,458.16

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Solution

The fourth proportional to 3,523.92, 5,313.72 and 3,458.16 is: 5,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.92 : 5,313.72 = 3,458.16 : x
  2. Step 2: Convert to fraction form
    3,523.92/5,313.72 = 3,458.16/x
  3. Step 3: Cross multiply
    3,523.92x = 5,313.72 × 3,458.16
  4. Step 4: Simplify right side
    3,523.92x = 18,375,693.96
  5. Step 5: Solve for x
    x = 18,375,693.96/3,523.92
  6. Step 6: Final answer
    x = 5,214.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.