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Finding the Fourth Proportional to 5,206.80, 7,809.69 and 2,866.04

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Solution

The fourth proportional to 5,206.80, 7,809.69 and 2,866.04 is: 4,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.80 : 7,809.69 = 2,866.04 : x
  2. Step 2: Convert to fraction form
    5,206.80/7,809.69 = 2,866.04/x
  3. Step 3: Cross multiply
    5,206.80x = 7,809.69 × 2,866.04
  4. Step 4: Simplify right side
    5,206.80x = 22,382,844.88
  5. Step 5: Solve for x
    x = 22,382,844.88/5,206.80
  6. Step 6: Final answer
    x = 4,298.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.