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Finding the Fourth Proportional to 5,471.03, 8,206.47 and 1,773.17

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Solution

The fourth proportional to 5,471.03, 8,206.47 and 1,773.17 is: 2,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.03 : 8,206.47 = 1,773.17 : x
  2. Step 2: Convert to fraction form
    5,471.03/8,206.47 = 1,773.17/x
  3. Step 3: Cross multiply
    5,471.03x = 8,206.47 × 1,773.17
  4. Step 4: Simplify right side
    5,471.03x = 14,551,425.38
  5. Step 5: Solve for x
    x = 14,551,425.38/5,471.03
  6. Step 6: Final answer
    x = 2,659.73

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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.