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Finding the Fourth Proportional to 5,761.84, 7,949.28 and 3,775

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Solution

The fourth proportional to 5,761.84, 7,949.28 and 3,775 is: 5,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.84 : 7,949.28 = 3,775 : x
  2. Step 2: Convert to fraction form
    5,761.84/7,949.28 = 3,775/x
  3. Step 3: Cross multiply
    5,761.84x = 7,949.28 × 3,775
  4. Step 4: Simplify right side
    5,761.84x = 30,008,532
  5. Step 5: Solve for x
    x = 30,008,532/5,761.84
  6. Step 6: Final answer
    x = 5,208.15

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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.