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Finding the Fourth Proportional to 3,862.14, 5,794.02 and 1,264.86

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Solution

The fourth proportional to 3,862.14, 5,794.02 and 1,264.86 is: 1,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.14 : 5,794.02 = 1,264.86 : x
  2. Step 2: Convert to fraction form
    3,862.14/5,794.02 = 1,264.86/x
  3. Step 3: Cross multiply
    3,862.14x = 5,794.02 × 1,264.86
  4. Step 4: Simplify right side
    3,862.14x = 7,328,624.14
  5. Step 5: Solve for x
    x = 7,328,624.14/3,862.14
  6. Step 6: Final answer
    x = 1,897.56

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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.