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Finding the Fourth Proportional to 5,700.87, 8,541.68 and 4,049.21

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Solution

The fourth proportional to 5,700.87, 8,541.68 and 4,049.21 is: 6,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.87 : 8,541.68 = 4,049.21 : x
  2. Step 2: Convert to fraction form
    5,700.87/8,541.68 = 4,049.21/x
  3. Step 3: Cross multiply
    5,700.87x = 8,541.68 × 4,049.21
  4. Step 4: Simplify right side
    5,700.87x = 34,586,993.12
  5. Step 5: Solve for x
    x = 34,586,993.12/5,700.87
  6. Step 6: Final answer
    x = 6,066.97

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Why These Related Problems?

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