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Finding the Fourth Proportional to 3,938.83, 5,433.86 and 2,366

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Solution

The fourth proportional to 3,938.83, 5,433.86 and 2,366 is: 3,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.83 : 5,433.86 = 2,366 : x
  2. Step 2: Convert to fraction form
    3,938.83/5,433.86 = 2,366/x
  3. Step 3: Cross multiply
    3,938.83x = 5,433.86 × 2,366
  4. Step 4: Simplify right side
    3,938.83x = 12,856,500.93
  5. Step 5: Solve for x
    x = 12,856,500.93/3,938.83
  6. Step 6: Final answer
    x = 3,264.04

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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.