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Finding the Fourth Proportional to 5,767.30, 7,959.04 and 3,378.78

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Solution

The fourth proportional to 5,767.30, 7,959.04 and 3,378.78 is: 4,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.30 : 7,959.04 = 3,378.78 : x
  2. Step 2: Convert to fraction form
    5,767.30/7,959.04 = 3,378.78/x
  3. Step 3: Cross multiply
    5,767.30x = 7,959.04 × 3,378.78
  4. Step 4: Simplify right side
    5,767.30x = 26,891,845.17
  5. Step 5: Solve for x
    x = 26,891,845.17/5,767.30
  6. Step 6: Final answer
    x = 4,662.81

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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.