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Finding the Fourth Proportional to 3,858.32, 5,321.16 and 3,112

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Solution

The fourth proportional to 3,858.32, 5,321.16 and 3,112 is: 4,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.32 : 5,321.16 = 3,112 : x
  2. Step 2: Convert to fraction form
    3,858.32/5,321.16 = 3,112/x
  3. Step 3: Cross multiply
    3,858.32x = 5,321.16 × 3,112
  4. Step 4: Simplify right side
    3,858.32x = 16,559,449.92
  5. Step 5: Solve for x
    x = 16,559,449.92/3,858.32
  6. Step 6: Final answer
    x = 4,291.88

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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.