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Finding the Fourth Proportional to 4,097.04, 6,144.81 and 1,757.46

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Solution

The fourth proportional to 4,097.04, 6,144.81 and 1,757.46 is: 2,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.04 : 6,144.81 = 1,757.46 : x
  2. Step 2: Convert to fraction form
    4,097.04/6,144.81 = 1,757.46/x
  3. Step 3: Cross multiply
    4,097.04x = 6,144.81 × 1,757.46
  4. Step 4: Simplify right side
    4,097.04x = 10,799,257.78
  5. Step 5: Solve for x
    x = 10,799,257.78/4,097.04
  6. Step 6: Final answer
    x = 2,635.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.