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Finding the Fourth Proportional to 3,546.47, 4,894.04 and 1,974.57

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Solution

The fourth proportional to 3,546.47, 4,894.04 and 1,974.57 is: 2,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.47 : 4,894.04 = 1,974.57 : x
  2. Step 2: Convert to fraction form
    3,546.47/4,894.04 = 1,974.57/x
  3. Step 3: Cross multiply
    3,546.47x = 4,894.04 × 1,974.57
  4. Step 4: Simplify right side
    3,546.47x = 9,663,596.34
  5. Step 5: Solve for x
    x = 9,663,596.34/3,546.47
  6. Step 6: Final answer
    x = 2,724.85

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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.