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Finding the Fourth Proportional to 3,857.12, 5,313.30 and 3,659.48

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Solution

The fourth proportional to 3,857.12, 5,313.30 and 3,659.48 is: 5,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.12 : 5,313.30 = 3,659.48 : x
  2. Step 2: Convert to fraction form
    3,857.12/5,313.30 = 3,659.48/x
  3. Step 3: Cross multiply
    3,857.12x = 5,313.30 × 3,659.48
  4. Step 4: Simplify right side
    3,857.12x = 19,443,915.08
  5. Step 5: Solve for x
    x = 19,443,915.08/3,857.12
  6. Step 6: Final answer
    x = 5,041.04

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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.