Home / 4,209.34-6,314.11-1,742.48

Finding the Fourth Proportional to 4,209.34, 6,314.11 and 1,742.48

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Solution

The fourth proportional to 4,209.34, 6,314.11 and 1,742.48 is: 2,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.34 : 6,314.11 = 1,742.48 : x
  2. Step 2: Convert to fraction form
    4,209.34/6,314.11 = 1,742.48/x
  3. Step 3: Cross multiply
    4,209.34x = 6,314.11 × 1,742.48
  4. Step 4: Simplify right side
    4,209.34x = 11,002,221.82
  5. Step 5: Solve for x
    x = 11,002,221.82/4,209.34
  6. Step 6: Final answer
    x = 2,613.77

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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.