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Finding the Fourth Proportional to 3,954.88, 5,932.16 and 1,614.12

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Solution

The fourth proportional to 3,954.88, 5,932.16 and 1,614.12 is: 2,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.88 : 5,932.16 = 1,614.12 : x
  2. Step 2: Convert to fraction form
    3,954.88/5,932.16 = 1,614.12/x
  3. Step 3: Cross multiply
    3,954.88x = 5,932.16 × 1,614.12
  4. Step 4: Simplify right side
    3,954.88x = 9,575,218.10
  5. Step 5: Solve for x
    x = 9,575,218.10/3,954.88
  6. Step 6: Final answer
    x = 2,421.11

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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.