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Finding the Fourth Proportional to 3,663.13, 5,055.11 and 1,984.58

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Solution

The fourth proportional to 3,663.13, 5,055.11 and 1,984.58 is: 2,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.13 : 5,055.11 = 1,984.58 : x
  2. Step 2: Convert to fraction form
    3,663.13/5,055.11 = 1,984.58/x
  3. Step 3: Cross multiply
    3,663.13x = 5,055.11 × 1,984.58
  4. Step 4: Simplify right side
    3,663.13x = 10,032,282.05
  5. Step 5: Solve for x
    x = 10,032,282.05/3,663.13
  6. Step 6: Final answer
    x = 2,738.72

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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.