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Finding the Fourth Proportional to 3,560.97, 4,914.05 and 1,967.61

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Solution

The fourth proportional to 3,560.97, 4,914.05 and 1,967.61 is: 2,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.97 : 4,914.05 = 1,967.61 : x
  2. Step 2: Convert to fraction form
    3,560.97/4,914.05 = 1,967.61/x
  3. Step 3: Cross multiply
    3,560.97x = 4,914.05 × 1,967.61
  4. Step 4: Simplify right side
    3,560.97x = 9,668,924.08
  5. Step 5: Solve for x
    x = 9,668,924.08/3,560.97
  6. Step 6: Final answer
    x = 2,715.25

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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.