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Finding the Fourth Proportional to 5,700.20, 7,866.62 and 3,182.30

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Solution

The fourth proportional to 5,700.20, 7,866.62 and 3,182.30 is: 4,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.20 : 7,866.62 = 3,182.30 : x
  2. Step 2: Convert to fraction form
    5,700.20/7,866.62 = 3,182.30/x
  3. Step 3: Cross multiply
    5,700.20x = 7,866.62 × 3,182.30
  4. Step 4: Simplify right side
    5,700.20x = 25,033,942.08
  5. Step 5: Solve for x
    x = 25,033,942.08/5,700.20
  6. Step 6: Final answer
    x = 4,391.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.