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Finding the Fourth Proportional to 5,224.49, 7,836.70 and 1,328.86

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Solution

The fourth proportional to 5,224.49, 7,836.70 and 1,328.86 is: 1,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.49 : 7,836.70 = 1,328.86 : x
  2. Step 2: Convert to fraction form
    5,224.49/7,836.70 = 1,328.86/x
  3. Step 3: Cross multiply
    5,224.49x = 7,836.70 × 1,328.86
  4. Step 4: Simplify right side
    5,224.49x = 10,413,877.16
  5. Step 5: Solve for x
    x = 10,413,877.16/5,224.49
  6. Step 6: Final answer
    x = 1,993.28

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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.