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Finding the Fourth Proportional to 5,767.88, 7,959.78 and 3,250.77

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Solution

The fourth proportional to 5,767.88, 7,959.78 and 3,250.77 is: 4,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.88 : 7,959.78 = 3,250.77 : x
  2. Step 2: Convert to fraction form
    5,767.88/7,959.78 = 3,250.77/x
  3. Step 3: Cross multiply
    5,767.88x = 7,959.78 × 3,250.77
  4. Step 4: Simplify right side
    5,767.88x = 25,875,414.03
  5. Step 5: Solve for x
    x = 25,875,414.03/5,767.88
  6. Step 6: Final answer
    x = 4,486.13

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