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Finding the Fourth Proportional to 5,713.98, 7,886.82 and 3,357.69

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Solution

The fourth proportional to 5,713.98, 7,886.82 and 3,357.69 is: 4,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.98 : 7,886.82 = 3,357.69 : x
  2. Step 2: Convert to fraction form
    5,713.98/7,886.82 = 3,357.69/x
  3. Step 3: Cross multiply
    5,713.98x = 7,886.82 × 3,357.69
  4. Step 4: Simplify right side
    5,713.98x = 26,481,496.65
  5. Step 5: Solve for x
    x = 26,481,496.65/5,713.98
  6. Step 6: Final answer
    x = 4,634.51

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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.