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Finding the Fourth Proportional to 5,682.15, 7,839.86 and 3,414.15

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Solution

The fourth proportional to 5,682.15, 7,839.86 and 3,414.15 is: 4,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.15 : 7,839.86 = 3,414.15 : x
  2. Step 2: Convert to fraction form
    5,682.15/7,839.86 = 3,414.15/x
  3. Step 3: Cross multiply
    5,682.15x = 7,839.86 × 3,414.15
  4. Step 4: Simplify right side
    5,682.15x = 26,766,440.95
  5. Step 5: Solve for x
    x = 26,766,440.95/5,682.15
  6. Step 6: Final answer
    x = 4,710.62

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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.