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Finding the Fourth Proportional to 3,932.96, 5,898.98 and 1,011.03

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Solution

The fourth proportional to 3,932.96, 5,898.98 and 1,011.03 is: 1,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.96 : 5,898.98 = 1,011.03 : x
  2. Step 2: Convert to fraction form
    3,932.96/5,898.98 = 1,011.03/x
  3. Step 3: Cross multiply
    3,932.96x = 5,898.98 × 1,011.03
  4. Step 4: Simplify right side
    3,932.96x = 5,964,053.65
  5. Step 5: Solve for x
    x = 5,964,053.65/3,932.96
  6. Step 6: Final answer
    x = 1,516.43

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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.