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Finding the Fourth Proportional to 3,932.57, 5,893.47 and 2,174.96

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Solution

The fourth proportional to 3,932.57, 5,893.47 and 2,174.96 is: 3,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.57 : 5,893.47 = 2,174.96 : x
  2. Step 2: Convert to fraction form
    3,932.57/5,893.47 = 2,174.96/x
  3. Step 3: Cross multiply
    3,932.57x = 5,893.47 × 2,174.96
  4. Step 4: Simplify right side
    3,932.57x = 12,818,032.04
  5. Step 5: Solve for x
    x = 12,818,032.04/3,932.57
  6. Step 6: Final answer
    x = 3,259.46

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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.