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Finding the Fourth Proportional to 3,484.43, 5,218.13 and 3,147.09

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Solution

The fourth proportional to 3,484.43, 5,218.13 and 3,147.09 is: 4,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.43 : 5,218.13 = 3,147.09 : x
  2. Step 2: Convert to fraction form
    3,484.43/5,218.13 = 3,147.09/x
  3. Step 3: Cross multiply
    3,484.43x = 5,218.13 × 3,147.09
  4. Step 4: Simplify right side
    3,484.43x = 16,421,909.01
  5. Step 5: Solve for x
    x = 16,421,909.01/3,484.43
  6. Step 6: Final answer
    x = 4,712.94

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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.