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Finding the Fourth Proportional to 3,485.62, 4,809.38 and 2,069.77

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Solution

The fourth proportional to 3,485.62, 4,809.38 and 2,069.77 is: 2,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.62 : 4,809.38 = 2,069.77 : x
  2. Step 2: Convert to fraction form
    3,485.62/4,809.38 = 2,069.77/x
  3. Step 3: Cross multiply
    3,485.62x = 4,809.38 × 2,069.77
  4. Step 4: Simplify right side
    3,485.62x = 9,954,297.09
  5. Step 5: Solve for x
    x = 9,954,297.09/3,485.62
  6. Step 6: Final answer
    x = 2,855.82

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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.