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Finding the Fourth Proportional to 3,604.41, 4,974.17 and 2,032.50

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Solution

The fourth proportional to 3,604.41, 4,974.17 and 2,032.50 is: 2,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.41 : 4,974.17 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    3,604.41/4,974.17 = 2,032.50/x
  3. Step 3: Cross multiply
    3,604.41x = 4,974.17 × 2,032.50
  4. Step 4: Simplify right side
    3,604.41x = 10,109,990.36
  5. Step 5: Solve for x
    x = 10,109,990.36/3,604.41
  6. Step 6: Final answer
    x = 2,804.89

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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.