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Finding the Fourth Proportional to 5,224.96, 7,836.76 and 1,329.13

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Solution

The fourth proportional to 5,224.96, 7,836.76 and 1,329.13 is: 1,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.96 : 7,836.76 = 1,329.13 : x
  2. Step 2: Convert to fraction form
    5,224.96/7,836.76 = 1,329.13/x
  3. Step 3: Cross multiply
    5,224.96x = 7,836.76 × 1,329.13
  4. Step 4: Simplify right side
    5,224.96x = 10,416,072.82
  5. Step 5: Solve for x
    x = 10,416,072.82/5,224.96
  6. Step 6: Final answer
    x = 1,993.52

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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.