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Finding the Fourth Proportional to 4,018.42, 6,017.15 and 3,234.14

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Solution

The fourth proportional to 4,018.42, 6,017.15 and 3,234.14 is: 4,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,018.42 : 6,017.15 = 3,234.14 : x
  2. Step 2: Convert to fraction form
    4,018.42/6,017.15 = 3,234.14/x
  3. Step 3: Cross multiply
    4,018.42x = 6,017.15 × 3,234.14
  4. Step 4: Simplify right side
    4,018.42x = 19,460,305.50
  5. Step 5: Solve for x
    x = 19,460,305.50/4,018.42
  6. Step 6: Final answer
    x = 4,842.78

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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.