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Finding the Fourth Proportional to 3,792.04, 5,693.38 and 1,944.48

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Solution

The fourth proportional to 3,792.04, 5,693.38 and 1,944.48 is: 2,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.04 : 5,693.38 = 1,944.48 : x
  2. Step 2: Convert to fraction form
    3,792.04/5,693.38 = 1,944.48/x
  3. Step 3: Cross multiply
    3,792.04x = 5,693.38 × 1,944.48
  4. Step 4: Simplify right side
    3,792.04x = 11,070,663.54
  5. Step 5: Solve for x
    x = 11,070,663.54/3,792.04
  6. Step 6: Final answer
    x = 2,919.45

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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.