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Finding the Fourth Proportional to 5,321.47, 7,982.29 and 2,034.74

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Solution

The fourth proportional to 5,321.47, 7,982.29 and 2,034.74 is: 3,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.47 : 7,982.29 = 2,034.74 : x
  2. Step 2: Convert to fraction form
    5,321.47/7,982.29 = 2,034.74/x
  3. Step 3: Cross multiply
    5,321.47x = 7,982.29 × 2,034.74
  4. Step 4: Simplify right side
    5,321.47x = 16,241,884.75
  5. Step 5: Solve for x
    x = 16,241,884.75/5,321.47
  6. Step 6: Final answer
    x = 3,052.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.