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Finding the Fourth Proportional to 3,604.87, 4,974.71 and 2,032.95

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Solution

The fourth proportional to 3,604.87, 4,974.71 and 2,032.95 is: 2,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.87 : 4,974.71 = 2,032.95 : x
  2. Step 2: Convert to fraction form
    3,604.87/4,974.71 = 2,032.95/x
  3. Step 3: Cross multiply
    3,604.87x = 4,974.71 × 2,032.95
  4. Step 4: Simplify right side
    3,604.87x = 10,113,336.69
  5. Step 5: Solve for x
    x = 10,113,336.69/3,604.87
  6. Step 6: Final answer
    x = 2,805.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.