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Finding the Fourth Proportional to 5,768.32, 7,959.68 and 3,283.84

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Solution

The fourth proportional to 5,768.32, 7,959.68 and 3,283.84 is: 4,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.32 : 7,959.68 = 3,283.84 : x
  2. Step 2: Convert to fraction form
    5,768.32/7,959.68 = 3,283.84/x
  3. Step 3: Cross multiply
    5,768.32x = 7,959.68 × 3,283.84
  4. Step 4: Simplify right side
    5,768.32x = 26,138,315.57
  5. Step 5: Solve for x
    x = 26,138,315.57/5,768.32
  6. Step 6: Final answer
    x = 4,531.36

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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.