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Finding the Fourth Proportional to 4,144.86, 6,216.03 and 3,412.62

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Solution

The fourth proportional to 4,144.86, 6,216.03 and 3,412.62 is: 5,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.86 : 6,216.03 = 3,412.62 : x
  2. Step 2: Convert to fraction form
    4,144.86/6,216.03 = 3,412.62/x
  3. Step 3: Cross multiply
    4,144.86x = 6,216.03 × 3,412.62
  4. Step 4: Simplify right side
    4,144.86x = 21,212,948.30
  5. Step 5: Solve for x
    x = 21,212,948.30/4,144.86
  6. Step 6: Final answer
    x = 5,117.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.