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Finding the Fourth Proportional to 3,663.37, 5,055.37 and 1,984.75

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Solution

The fourth proportional to 3,663.37, 5,055.37 and 1,984.75 is: 2,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.37 : 5,055.37 = 1,984.75 : x
  2. Step 2: Convert to fraction form
    3,663.37/5,055.37 = 1,984.75/x
  3. Step 3: Cross multiply
    3,663.37x = 5,055.37 × 1,984.75
  4. Step 4: Simplify right side
    3,663.37x = 10,033,645.61
  5. Step 5: Solve for x
    x = 10,033,645.61/3,663.37
  6. Step 6: Final answer
    x = 2,738.91

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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.