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Finding the Fourth Proportional to 5,268.66, 7,899.90 and 2,150.16

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Solution

The fourth proportional to 5,268.66, 7,899.90 and 2,150.16 is: 3,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.66 : 7,899.90 = 2,150.16 : x
  2. Step 2: Convert to fraction form
    5,268.66/7,899.90 = 2,150.16/x
  3. Step 3: Cross multiply
    5,268.66x = 7,899.90 × 2,150.16
  4. Step 4: Simplify right side
    5,268.66x = 16,986,048.98
  5. Step 5: Solve for x
    x = 16,986,048.98/5,268.66
  6. Step 6: Final answer
    x = 3,223.98

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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.