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Finding the Fourth Proportional to 5,402.05, 7,454.00 and 3,043.73

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Solution

The fourth proportional to 5,402.05, 7,454.00 and 3,043.73 is: 4,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.05 : 7,454.00 = 3,043.73 : x
  2. Step 2: Convert to fraction form
    5,402.05/7,454.00 = 3,043.73/x
  3. Step 3: Cross multiply
    5,402.05x = 7,454.00 × 3,043.73
  4. Step 4: Simplify right side
    5,402.05x = 22,687,989.66
  5. Step 5: Solve for x
    x = 22,687,989.66/5,402.05
  6. Step 6: Final answer
    x = 4,199.89

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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.