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Finding the Fourth Proportional to 4,157.12, 5,739.21 and 3,920.66

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Solution

The fourth proportional to 4,157.12, 5,739.21 and 3,920.66 is: 5,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.12 : 5,739.21 = 3,920.66 : x
  2. Step 2: Convert to fraction form
    4,157.12/5,739.21 = 3,920.66/x
  3. Step 3: Cross multiply
    4,157.12x = 5,739.21 × 3,920.66
  4. Step 4: Simplify right side
    4,157.12x = 22,501,462.38
  5. Step 5: Solve for x
    x = 22,501,462.38/4,157.12
  6. Step 6: Final answer
    x = 5,412.75

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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.