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Finding the Fourth Proportional to 3,944.02, 5,442.96 and 2,265.42

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Solution

The fourth proportional to 3,944.02, 5,442.96 and 2,265.42 is: 3,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.02 : 5,442.96 = 2,265.42 : x
  2. Step 2: Convert to fraction form
    3,944.02/5,442.96 = 2,265.42/x
  3. Step 3: Cross multiply
    3,944.02x = 5,442.96 × 2,265.42
  4. Step 4: Simplify right side
    3,944.02x = 12,330,590.44
  5. Step 5: Solve for x
    x = 12,330,590.44/3,944.02
  6. Step 6: Final answer
    x = 3,126.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.