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Finding the Fourth Proportional to 6,169.39, 8,511.15 and 3,780.30

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Solution

The fourth proportional to 6,169.39, 8,511.15 and 3,780.30 is: 5,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.39 : 8,511.15 = 3,780.30 : x
  2. Step 2: Convert to fraction form
    6,169.39/8,511.15 = 3,780.30/x
  3. Step 3: Cross multiply
    6,169.39x = 8,511.15 × 3,780.30
  4. Step 4: Simplify right side
    6,169.39x = 32,174,700.35
  5. Step 5: Solve for x
    x = 32,174,700.35/6,169.39
  6. Step 6: Final answer
    x = 5,215.22

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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.