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Finding the Fourth Proportional to 3,604.30, 4,974.16 and 2,032.49

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Solution

The fourth proportional to 3,604.30, 4,974.16 and 2,032.49 is: 2,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.30 : 4,974.16 = 2,032.49 : x
  2. Step 2: Convert to fraction form
    3,604.30/4,974.16 = 2,032.49/x
  3. Step 3: Cross multiply
    3,604.30x = 4,974.16 × 2,032.49
  4. Step 4: Simplify right side
    3,604.30x = 10,109,930.46
  5. Step 5: Solve for x
    x = 10,109,930.46/3,604.30
  6. Step 6: Final answer
    x = 2,804.97

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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.