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Finding the Fourth Proportional to 5,682.66, 7,842.12 and 3,324.85

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Solution

The fourth proportional to 5,682.66, 7,842.12 and 3,324.85 is: 4,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.66 : 7,842.12 = 3,324.85 : x
  2. Step 2: Convert to fraction form
    5,682.66/7,842.12 = 3,324.85/x
  3. Step 3: Cross multiply
    5,682.66x = 7,842.12 × 3,324.85
  4. Step 4: Simplify right side
    5,682.66x = 26,073,840.61
  5. Step 5: Solve for x
    x = 26,073,840.61/5,682.66
  6. Step 6: Final answer
    x = 4,588.32

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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.