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Finding the Fourth Proportional to 5,682.73, 7,842.48 and 3,414.76

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Solution

The fourth proportional to 5,682.73, 7,842.48 and 3,414.76 is: 4,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.73 : 7,842.48 = 3,414.76 : x
  2. Step 2: Convert to fraction form
    5,682.73/7,842.48 = 3,414.76/x
  3. Step 3: Cross multiply
    5,682.73x = 7,842.48 × 3,414.76
  4. Step 4: Simplify right side
    5,682.73x = 26,780,181.81
  5. Step 5: Solve for x
    x = 26,780,181.81/5,682.73
  6. Step 6: Final answer
    x = 4,712.56

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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.