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Finding the Fourth Proportional to 3,833.28, 5,288 and 3,126.08

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Solution

The fourth proportional to 3,833.28, 5,288 and 3,126.08 is: 4,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.28 : 5,288 = 3,126.08 : x
  2. Step 2: Convert to fraction form
    3,833.28/5,288 = 3,126.08/x
  3. Step 3: Cross multiply
    3,833.28x = 5,288 × 3,126.08
  4. Step 4: Simplify right side
    3,833.28x = 16,530,711.04
  5. Step 5: Solve for x
    x = 16,530,711.04/3,833.28
  6. Step 6: Final answer
    x = 4,312.42

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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.