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Finding the Fourth Proportional to 5,261.24, 7,886.26 and 3,958.68

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Solution

The fourth proportional to 5,261.24, 7,886.26 and 3,958.68 is: 5,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.24 : 7,886.26 = 3,958.68 : x
  2. Step 2: Convert to fraction form
    5,261.24/7,886.26 = 3,958.68/x
  3. Step 3: Cross multiply
    5,261.24x = 7,886.26 × 3,958.68
  4. Step 4: Simplify right side
    5,261.24x = 31,219,179.74
  5. Step 5: Solve for x
    x = 31,219,179.74/5,261.24
  6. Step 6: Final answer
    x = 5,933.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.