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Finding the Fourth Proportional to 3,932.56, 5,898.90 and 1,010.80

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Solution

The fourth proportional to 3,932.56, 5,898.90 and 1,010.80 is: 1,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.56 : 5,898.90 = 1,010.80 : x
  2. Step 2: Convert to fraction form
    3,932.56/5,898.90 = 1,010.80/x
  3. Step 3: Cross multiply
    3,932.56x = 5,898.90 × 1,010.80
  4. Step 4: Simplify right side
    3,932.56x = 5,962,608.12
  5. Step 5: Solve for x
    x = 5,962,608.12/3,932.56
  6. Step 6: Final answer
    x = 1,516.22

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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.