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Finding the Fourth Proportional to 3,604.85, 4,974.64 and 2,032.95

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Solution

The fourth proportional to 3,604.85, 4,974.64 and 2,032.95 is: 2,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.85 : 4,974.64 = 2,032.95 : x
  2. Step 2: Convert to fraction form
    3,604.85/4,974.64 = 2,032.95/x
  3. Step 3: Cross multiply
    3,604.85x = 4,974.64 × 2,032.95
  4. Step 4: Simplify right side
    3,604.85x = 10,113,194.39
  5. Step 5: Solve for x
    x = 10,113,194.39/3,604.85
  6. Step 6: Final answer
    x = 2,805.44

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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.