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Finding the Fourth Proportional to 5,766.03, 7,957.53 and 3,213.95

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Solution

The fourth proportional to 5,766.03, 7,957.53 and 3,213.95 is: 4,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.03 : 7,957.53 = 3,213.95 : x
  2. Step 2: Convert to fraction form
    5,766.03/7,957.53 = 3,213.95/x
  3. Step 3: Cross multiply
    5,766.03x = 7,957.53 × 3,213.95
  4. Step 4: Simplify right side
    5,766.03x = 25,575,103.54
  5. Step 5: Solve for x
    x = 25,575,103.54/5,766.03
  6. Step 6: Final answer
    x = 4,435.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.