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Finding the Fourth Proportional to 3,663.41, 5,055.51 and 1,984.83

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Solution

The fourth proportional to 3,663.41, 5,055.51 and 1,984.83 is: 2,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.41 : 5,055.51 = 1,984.83 : x
  2. Step 2: Convert to fraction form
    3,663.41/5,055.51 = 1,984.83/x
  3. Step 3: Cross multiply
    3,663.41x = 5,055.51 × 1,984.83
  4. Step 4: Simplify right side
    3,663.41x = 10,034,327.91
  5. Step 5: Solve for x
    x = 10,034,327.91/3,663.41
  6. Step 6: Final answer
    x = 2,739.07

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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.