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Finding the Fourth Proportional to 5,715, 7,886.70 and 3,231.48

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Solution

The fourth proportional to 5,715, 7,886.70 and 3,231.48 is: 4,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715 : 7,886.70 = 3,231.48 : x
  2. Step 2: Convert to fraction form
    5,715/7,886.70 = 3,231.48/x
  3. Step 3: Cross multiply
    5,715x = 7,886.70 × 3,231.48
  4. Step 4: Simplify right side
    5,715x = 25,485,713.32
  5. Step 5: Solve for x
    x = 25,485,713.32/5,715
  6. Step 6: Final answer
    x = 4,459.44

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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.