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Finding the Fourth Proportional to 5,703.22, 7,867.56 and 3,935.80

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Solution

The fourth proportional to 5,703.22, 7,867.56 and 3,935.80 is: 5,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.22 : 7,867.56 = 3,935.80 : x
  2. Step 2: Convert to fraction form
    5,703.22/7,867.56 = 3,935.80/x
  3. Step 3: Cross multiply
    5,703.22x = 7,867.56 × 3,935.80
  4. Step 4: Simplify right side
    5,703.22x = 30,965,142.65
  5. Step 5: Solve for x
    x = 30,965,142.65/5,703.22
  6. Step 6: Final answer
    x = 5,429.41

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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.