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Finding the Fourth Proportional to 5,963.34, 8,944.92 and 2,454.96

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Solution

The fourth proportional to 5,963.34, 8,944.92 and 2,454.96 is: 3,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.34 : 8,944.92 = 2,454.96 : x
  2. Step 2: Convert to fraction form
    5,963.34/8,944.92 = 2,454.96/x
  3. Step 3: Cross multiply
    5,963.34x = 8,944.92 × 2,454.96
  4. Step 4: Simplify right side
    5,963.34x = 21,959,420.80
  5. Step 5: Solve for x
    x = 21,959,420.80/5,963.34
  6. Step 6: Final answer
    x = 3,682.40

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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.