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Finding the Fourth Proportional to 3,862.88, 5,794.44 and 1,266.02

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Solution

The fourth proportional to 3,862.88, 5,794.44 and 1,266.02 is: 1,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.88 : 5,794.44 = 1,266.02 : x
  2. Step 2: Convert to fraction form
    3,862.88/5,794.44 = 1,266.02/x
  3. Step 3: Cross multiply
    3,862.88x = 5,794.44 × 1,266.02
  4. Step 4: Simplify right side
    3,862.88x = 7,335,876.93
  5. Step 5: Solve for x
    x = 7,335,876.93/3,862.88
  6. Step 6: Final answer
    x = 1,899.07

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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.