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Finding the Fourth Proportional to 3,862.69, 5,793.96 and 941.02

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Solution

The fourth proportional to 3,862.69, 5,793.96 and 941.02 is: 1,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 5,793.96 = 941.02 : x
  2. Step 2: Convert to fraction form
    3,862.69/5,793.96 = 941.02/x
  3. Step 3: Cross multiply
    3,862.69x = 5,793.96 × 941.02
  4. Step 4: Simplify right side
    3,862.69x = 5,452,232.24
  5. Step 5: Solve for x
    x = 5,452,232.24/3,862.69
  6. Step 6: Final answer
    x = 1,411.51

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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.