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Finding the Fourth Proportional to 5,224.34, 7,836.56 and 1,328.75

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Solution

The fourth proportional to 5,224.34, 7,836.56 and 1,328.75 is: 1,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.34 : 7,836.56 = 1,328.75 : x
  2. Step 2: Convert to fraction form
    5,224.34/7,836.56 = 1,328.75/x
  3. Step 3: Cross multiply
    5,224.34x = 7,836.56 × 1,328.75
  4. Step 4: Simplify right side
    5,224.34x = 10,412,789.92
  5. Step 5: Solve for x
    x = 10,412,789.92/5,224.34
  6. Step 6: Final answer
    x = 1,993.13

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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.