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Finding the Fourth Proportional to 4,404.34, 6,078.27 and 3,209.59

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Solution

The fourth proportional to 4,404.34, 6,078.27 and 3,209.59 is: 4,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.34 : 6,078.27 = 3,209.59 : x
  2. Step 2: Convert to fraction form
    4,404.34/6,078.27 = 3,209.59/x
  3. Step 3: Cross multiply
    4,404.34x = 6,078.27 × 3,209.59
  4. Step 4: Simplify right side
    4,404.34x = 19,508,754.61
  5. Step 5: Solve for x
    x = 19,508,754.61/4,404.34
  6. Step 6: Final answer
    x = 4,429.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.