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Finding the Fourth Proportional to 5,224.70, 7,837.08 and 1,329.12

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Solution

The fourth proportional to 5,224.70, 7,837.08 and 1,329.12 is: 1,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.70 : 7,837.08 = 1,329.12 : x
  2. Step 2: Convert to fraction form
    5,224.70/7,837.08 = 1,329.12/x
  3. Step 3: Cross multiply
    5,224.70x = 7,837.08 × 1,329.12
  4. Step 4: Simplify right side
    5,224.70x = 10,416,419.77
  5. Step 5: Solve for x
    x = 10,416,419.77/5,224.70
  6. Step 6: Final answer
    x = 1,993.69

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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.