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Finding the Fourth Proportional to 5,600.72, 8,401.82 and 1,901.96

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Solution

The fourth proportional to 5,600.72, 8,401.82 and 1,901.96 is: 2,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.72 : 8,401.82 = 1,901.96 : x
  2. Step 2: Convert to fraction form
    5,600.72/8,401.82 = 1,901.96/x
  3. Step 3: Cross multiply
    5,600.72x = 8,401.82 × 1,901.96
  4. Step 4: Simplify right side
    5,600.72x = 15,979,874.05
  5. Step 5: Solve for x
    x = 15,979,874.05/5,600.72
  6. Step 6: Final answer
    x = 2,853.18

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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.