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Finding the Fourth Proportional to 6,335.61, 8,742.49 and 3,682.86

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Solution

The fourth proportional to 6,335.61, 8,742.49 and 3,682.86 is: 5,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.61 : 8,742.49 = 3,682.86 : x
  2. Step 2: Convert to fraction form
    6,335.61/8,742.49 = 3,682.86/x
  3. Step 3: Cross multiply
    6,335.61x = 8,742.49 × 3,682.86
  4. Step 4: Simplify right side
    6,335.61x = 32,197,366.72
  5. Step 5: Solve for x
    x = 32,197,366.72/6,335.61
  6. Step 6: Final answer
    x = 5,081.97

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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.