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Finding the Fourth Proportional to 3,794.67, 5,693.12 and 1,947.08

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Solution

The fourth proportional to 3,794.67, 5,693.12 and 1,947.08 is: 2,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.67 : 5,693.12 = 1,947.08 : x
  2. Step 2: Convert to fraction form
    3,794.67/5,693.12 = 1,947.08/x
  3. Step 3: Cross multiply
    3,794.67x = 5,693.12 × 1,947.08
  4. Step 4: Simplify right side
    3,794.67x = 11,084,931.62
  5. Step 5: Solve for x
    x = 11,084,931.62/3,794.67
  6. Step 6: Final answer
    x = 2,921.18

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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.