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Finding the Fourth Proportional to 3,663.28, 5,055.32 and 1,984.69

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Solution

The fourth proportional to 3,663.28, 5,055.32 and 1,984.69 is: 2,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.28 : 5,055.32 = 1,984.69 : x
  2. Step 2: Convert to fraction form
    3,663.28/5,055.32 = 1,984.69/x
  3. Step 3: Cross multiply
    3,663.28x = 5,055.32 × 1,984.69
  4. Step 4: Simplify right side
    3,663.28x = 10,033,248.01
  5. Step 5: Solve for x
    x = 10,033,248.01/3,663.28
  6. Step 6: Final answer
    x = 2,738.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.