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Finding the Fourth Proportional to 4,154.07, 5,731.17 and 2,662.80

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Solution

The fourth proportional to 4,154.07, 5,731.17 and 2,662.80 is: 3,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.07 : 5,731.17 = 2,662.80 : x
  2. Step 2: Convert to fraction form
    4,154.07/5,731.17 = 2,662.80/x
  3. Step 3: Cross multiply
    4,154.07x = 5,731.17 × 2,662.80
  4. Step 4: Simplify right side
    4,154.07x = 15,260,959.48
  5. Step 5: Solve for x
    x = 15,260,959.48/4,154.07
  6. Step 6: Final answer
    x = 3,673.74

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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.