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Finding the Fourth Proportional to 5,164.92, 7,747.14 and 1,269.12

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Solution

The fourth proportional to 5,164.92, 7,747.14 and 1,269.12 is: 1,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.92 : 7,747.14 = 1,269.12 : x
  2. Step 2: Convert to fraction form
    5,164.92/7,747.14 = 1,269.12/x
  3. Step 3: Cross multiply
    5,164.92x = 7,747.14 × 1,269.12
  4. Step 4: Simplify right side
    5,164.92x = 9,832,050.32
  5. Step 5: Solve for x
    x = 9,832,050.32/5,164.92
  6. Step 6: Final answer
    x = 1,903.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.