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Finding the Fourth Proportional to 5,319.92, 7,981.50 and 2,034.56

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Solution

The fourth proportional to 5,319.92, 7,981.50 and 2,034.56 is: 3,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.92 : 7,981.50 = 2,034.56 : x
  2. Step 2: Convert to fraction form
    5,319.92/7,981.50 = 2,034.56/x
  3. Step 3: Cross multiply
    5,319.92x = 7,981.50 × 2,034.56
  4. Step 4: Simplify right side
    5,319.92x = 16,238,840.64
  5. Step 5: Solve for x
    x = 16,238,840.64/5,319.92
  6. Step 6: Final answer
    x = 3,052.46

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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.