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Finding the Fourth Proportional to 4,167.72, 5,751.72 and 2,399.64

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Solution

The fourth proportional to 4,167.72, 5,751.72 and 2,399.64 is: 3,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.72 : 5,751.72 = 2,399.64 : x
  2. Step 2: Convert to fraction form
    4,167.72/5,751.72 = 2,399.64/x
  3. Step 3: Cross multiply
    4,167.72x = 5,751.72 × 2,399.64
  4. Step 4: Simplify right side
    4,167.72x = 13,802,057.38
  5. Step 5: Solve for x
    x = 13,802,057.38/4,167.72
  6. Step 6: Final answer
    x = 3,311.66

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1.5x scale

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.