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Finding the Fourth Proportional to 6,281.15, 8,667.38 and 3,763.22

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Solution

The fourth proportional to 6,281.15, 8,667.38 and 3,763.22 is: 5,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.15 : 8,667.38 = 3,763.22 : x
  2. Step 2: Convert to fraction form
    6,281.15/8,667.38 = 3,763.22/x
  3. Step 3: Cross multiply
    6,281.15x = 8,667.38 × 3,763.22
  4. Step 4: Simplify right side
    6,281.15x = 32,617,195.61
  5. Step 5: Solve for x
    x = 32,617,195.61/6,281.15
  6. Step 6: Final answer
    x = 5,192.87

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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.