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Finding the Fourth Proportional to 3,862.74, 5,794.02 and 941.04

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Solution

The fourth proportional to 3,862.74, 5,794.02 and 941.04 is: 1,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.74 : 5,794.02 = 941.04 : x
  2. Step 2: Convert to fraction form
    3,862.74/5,794.02 = 941.04/x
  3. Step 3: Cross multiply
    3,862.74x = 5,794.02 × 941.04
  4. Step 4: Simplify right side
    3,862.74x = 5,452,404.58
  5. Step 5: Solve for x
    x = 5,452,404.58/3,862.74
  6. Step 6: Final answer
    x = 1,411.54

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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.