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Finding the Fourth Proportional to 5,771.35, 7,966.10 and 3,414.31

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Solution

The fourth proportional to 5,771.35, 7,966.10 and 3,414.31 is: 4,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.35 : 7,966.10 = 3,414.31 : x
  2. Step 2: Convert to fraction form
    5,771.35/7,966.10 = 3,414.31/x
  3. Step 3: Cross multiply
    5,771.35x = 7,966.10 × 3,414.31
  4. Step 4: Simplify right side
    5,771.35x = 27,198,734.89
  5. Step 5: Solve for x
    x = 27,198,734.89/5,771.35
  6. Step 6: Final answer
    x = 4,712.72

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1.5x scale

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.