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Finding the Fourth Proportional to 5,471.82, 8,207.33 and 1,773.72

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Solution

The fourth proportional to 5,471.82, 8,207.33 and 1,773.72 is: 2,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.82 : 8,207.33 = 1,773.72 : x
  2. Step 2: Convert to fraction form
    5,471.82/8,207.33 = 1,773.72/x
  3. Step 3: Cross multiply
    5,471.82x = 8,207.33 × 1,773.72
  4. Step 4: Simplify right side
    5,471.82x = 14,557,496.50
  5. Step 5: Solve for x
    x = 14,557,496.50/5,471.82
  6. Step 6: Final answer
    x = 2,660.45

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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.