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Finding the Fourth Proportional to 5,686.28, 8,529.50 and 1,793.96

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Solution

The fourth proportional to 5,686.28, 8,529.50 and 1,793.96 is: 2,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.28 : 8,529.50 = 1,793.96 : x
  2. Step 2: Convert to fraction form
    5,686.28/8,529.50 = 1,793.96/x
  3. Step 3: Cross multiply
    5,686.28x = 8,529.50 × 1,793.96
  4. Step 4: Simplify right side
    5,686.28x = 15,301,581.82
  5. Step 5: Solve for x
    x = 15,301,581.82/5,686.28
  6. Step 6: Final answer
    x = 2,690.97

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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.