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Finding the Fourth Proportional to 4,102.77, 5,666.82 and 4,073.97

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Solution

The fourth proportional to 4,102.77, 5,666.82 and 4,073.97 is: 5,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.77 : 5,666.82 = 4,073.97 : x
  2. Step 2: Convert to fraction form
    4,102.77/5,666.82 = 4,073.97/x
  3. Step 3: Cross multiply
    4,102.77x = 5,666.82 × 4,073.97
  4. Step 4: Simplify right side
    4,102.77x = 23,086,454.68
  5. Step 5: Solve for x
    x = 23,086,454.68/4,102.77
  6. Step 6: Final answer
    x = 5,627.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.