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Finding the Fourth Proportional to 5,761.52, 7,943.62 and 3,768.92

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Solution

The fourth proportional to 5,761.52, 7,943.62 and 3,768.92 is: 5,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.52 : 7,943.62 = 3,768.92 : x
  2. Step 2: Convert to fraction form
    5,761.52/7,943.62 = 3,768.92/x
  3. Step 3: Cross multiply
    5,761.52x = 7,943.62 × 3,768.92
  4. Step 4: Simplify right side
    5,761.52x = 29,938,868.29
  5. Step 5: Solve for x
    x = 29,938,868.29/5,761.52
  6. Step 6: Final answer
    x = 5,196.35

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1.5x scale

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.