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Finding the Fourth Proportional to 5,886.83, 8,832.06 and 2,766.71

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Solution

The fourth proportional to 5,886.83, 8,832.06 and 2,766.71 is: 4,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.83 : 8,832.06 = 2,766.71 : x
  2. Step 2: Convert to fraction form
    5,886.83/8,832.06 = 2,766.71/x
  3. Step 3: Cross multiply
    5,886.83x = 8,832.06 × 2,766.71
  4. Step 4: Simplify right side
    5,886.83x = 24,435,748.72
  5. Step 5: Solve for x
    x = 24,435,748.72/5,886.83
  6. Step 6: Final answer
    x = 4,150.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.