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Finding the Fourth Proportional to 3,566.97, 4,922.12 and 2,054.46

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Solution

The fourth proportional to 3,566.97, 4,922.12 and 2,054.46 is: 2,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.97 : 4,922.12 = 2,054.46 : x
  2. Step 2: Convert to fraction form
    3,566.97/4,922.12 = 2,054.46/x
  3. Step 3: Cross multiply
    3,566.97x = 4,922.12 × 2,054.46
  4. Step 4: Simplify right side
    3,566.97x = 10,112,288.38
  5. Step 5: Solve for x
    x = 10,112,288.38/3,566.97
  6. Step 6: Final answer
    x = 2,834.98

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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.