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Finding the Fourth Proportional to 3,653.54, 5,041.88 and 1,974.94

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Solution

The fourth proportional to 3,653.54, 5,041.88 and 1,974.94 is: 2,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.54 : 5,041.88 = 1,974.94 : x
  2. Step 2: Convert to fraction form
    3,653.54/5,041.88 = 1,974.94/x
  3. Step 3: Cross multiply
    3,653.54x = 5,041.88 × 1,974.94
  4. Step 4: Simplify right side
    3,653.54x = 9,957,400.61
  5. Step 5: Solve for x
    x = 9,957,400.61/3,653.54
  6. Step 6: Final answer
    x = 2,725.41

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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.