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Finding the Fourth Proportional to 3,918.48, 5,874 and 1,452.66

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Solution

The fourth proportional to 3,918.48, 5,874 and 1,452.66 is: 2,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.48 : 5,874 = 1,452.66 : x
  2. Step 2: Convert to fraction form
    3,918.48/5,874 = 1,452.66/x
  3. Step 3: Cross multiply
    3,918.48x = 5,874 × 1,452.66
  4. Step 4: Simplify right side
    3,918.48x = 8,532,924.84
  5. Step 5: Solve for x
    x = 8,532,924.84/3,918.48
  6. Step 6: Final answer
    x = 2,177.61

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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.