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Finding the Fourth Proportional to 3,398.01, 4,686.18 and 2,201.78

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Solution

The fourth proportional to 3,398.01, 4,686.18 and 2,201.78 is: 3,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.01 : 4,686.18 = 2,201.78 : x
  2. Step 2: Convert to fraction form
    3,398.01/4,686.18 = 2,201.78/x
  3. Step 3: Cross multiply
    3,398.01x = 4,686.18 × 2,201.78
  4. Step 4: Simplify right side
    3,398.01x = 10,317,940.86
  5. Step 5: Solve for x
    x = 10,317,940.86/3,398.01
  6. Step 6: Final answer
    x = 3,036.47

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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.