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Finding the Fourth Proportional to 5,763.31, 7,954.13 and 3,245.91

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Solution

The fourth proportional to 5,763.31, 7,954.13 and 3,245.91 is: 4,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.31 : 7,954.13 = 3,245.91 : x
  2. Step 2: Convert to fraction form
    5,763.31/7,954.13 = 3,245.91/x
  3. Step 3: Cross multiply
    5,763.31x = 7,954.13 × 3,245.91
  4. Step 4: Simplify right side
    5,763.31x = 25,818,403.71
  5. Step 5: Solve for x
    x = 25,818,403.71/5,763.31
  6. Step 6: Final answer
    x = 4,479.79

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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.