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Finding the Fourth Proportional to 6,234.12, 8,602.38 and 3,439.62

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Solution

The fourth proportional to 6,234.12, 8,602.38 and 3,439.62 is: 4,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.12 : 8,602.38 = 3,439.62 : x
  2. Step 2: Convert to fraction form
    6,234.12/8,602.38 = 3,439.62/x
  3. Step 3: Cross multiply
    6,234.12x = 8,602.38 × 3,439.62
  4. Step 4: Simplify right side
    6,234.12x = 29,588,918.30
  5. Step 5: Solve for x
    x = 29,588,918.30/6,234.12
  6. Step 6: Final answer
    x = 4,746.29

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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.