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Finding the Fourth Proportional to 3,494.96, 5,243.12 and 1,154.87

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Solution

The fourth proportional to 3,494.96, 5,243.12 and 1,154.87 is: 1,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.96 : 5,243.12 = 1,154.87 : x
  2. Step 2: Convert to fraction form
    3,494.96/5,243.12 = 1,154.87/x
  3. Step 3: Cross multiply
    3,494.96x = 5,243.12 × 1,154.87
  4. Step 4: Simplify right side
    3,494.96x = 6,055,121.99
  5. Step 5: Solve for x
    x = 6,055,121.99/3,494.96
  6. Step 6: Final answer
    x = 1,732.53

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Why These Related Problems?

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