Home / 3,741.40-5,613.72-2,008

Finding the Fourth Proportional to 3,741.40, 5,613.72 and 2,008

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Solution

The fourth proportional to 3,741.40, 5,613.72 and 2,008 is: 3,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.40 : 5,613.72 = 2,008 : x
  2. Step 2: Convert to fraction form
    3,741.40/5,613.72 = 2,008/x
  3. Step 3: Cross multiply
    3,741.40x = 5,613.72 × 2,008
  4. Step 4: Simplify right side
    3,741.40x = 11,272,349.76
  5. Step 5: Solve for x
    x = 11,272,349.76/3,741.40
  6. Step 6: Final answer
    x = 3,012.87

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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.