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Finding the Fourth Proportional to 5,761.76, 7,952.67 and 4,083.44

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Solution

The fourth proportional to 5,761.76, 7,952.67 and 4,083.44 is: 5,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.76 : 7,952.67 = 4,083.44 : x
  2. Step 2: Convert to fraction form
    5,761.76/7,952.67 = 4,083.44/x
  3. Step 3: Cross multiply
    5,761.76x = 7,952.67 × 4,083.44
  4. Step 4: Simplify right side
    5,761.76x = 32,474,211.02
  5. Step 5: Solve for x
    x = 32,474,211.02/5,761.76
  6. Step 6: Final answer
    x = 5,636.17

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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.