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Finding the Fourth Proportional to 3,924.96, 5,887.46 and 963.42

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Solution

The fourth proportional to 3,924.96, 5,887.46 and 963.42 is: 1,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.96 : 5,887.46 = 963.42 : x
  2. Step 2: Convert to fraction form
    3,924.96/5,887.46 = 963.42/x
  3. Step 3: Cross multiply
    3,924.96x = 5,887.46 × 963.42
  4. Step 4: Simplify right side
    3,924.96x = 5,672,082.66
  5. Step 5: Solve for x
    x = 5,672,082.66/3,924.96
  6. Step 6: Final answer
    x = 1,445.13

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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.