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Finding the Fourth Proportional to 5,932.92, 8,899.07 and 1,772.96

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Solution

The fourth proportional to 5,932.92, 8,899.07 and 1,772.96 is: 2,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.92 : 8,899.07 = 1,772.96 : x
  2. Step 2: Convert to fraction form
    5,932.92/8,899.07 = 1,772.96/x
  3. Step 3: Cross multiply
    5,932.92x = 8,899.07 × 1,772.96
  4. Step 4: Simplify right side
    5,932.92x = 15,777,685.13
  5. Step 5: Solve for x
    x = 15,777,685.13/5,932.92
  6. Step 6: Final answer
    x = 2,659.35

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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.