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Finding the Fourth Proportional to 5,103.74, 7,043.17 and 2,865.41

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Solution

The fourth proportional to 5,103.74, 7,043.17 and 2,865.41 is: 3,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.74 : 7,043.17 = 2,865.41 : x
  2. Step 2: Convert to fraction form
    5,103.74/7,043.17 = 2,865.41/x
  3. Step 3: Cross multiply
    5,103.74x = 7,043.17 × 2,865.41
  4. Step 4: Simplify right side
    5,103.74x = 20,181,569.75
  5. Step 5: Solve for x
    x = 20,181,569.75/5,103.74
  6. Step 6: Final answer
    x = 3,954.27

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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.