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Finding the Fourth Proportional to 3,854.46, 5,782.20 and 1,256.52

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Solution

The fourth proportional to 3,854.46, 5,782.20 and 1,256.52 is: 1,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.46 : 5,782.20 = 1,256.52 : x
  2. Step 2: Convert to fraction form
    3,854.46/5,782.20 = 1,256.52/x
  3. Step 3: Cross multiply
    3,854.46x = 5,782.20 × 1,256.52
  4. Step 4: Simplify right side
    3,854.46x = 7,265,449.94
  5. Step 5: Solve for x
    x = 7,265,449.94/3,854.46
  6. Step 6: Final answer
    x = 1,884.95

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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.