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Finding the Fourth Proportional to 5,983.57, 8,971.56 and 2,034.52

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Solution

The fourth proportional to 5,983.57, 8,971.56 and 2,034.52 is: 3,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.57 : 8,971.56 = 2,034.52 : x
  2. Step 2: Convert to fraction form
    5,983.57/8,971.56 = 2,034.52/x
  3. Step 3: Cross multiply
    5,983.57x = 8,971.56 × 2,034.52
  4. Step 4: Simplify right side
    5,983.57x = 18,252,795.82
  5. Step 5: Solve for x
    x = 18,252,795.82/5,983.57
  6. Step 6: Final answer
    x = 3,050.49

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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.