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Finding the Fourth Proportional to 3,656.25, 5,029.70 and 3,206.09

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Solution

The fourth proportional to 3,656.25, 5,029.70 and 3,206.09 is: 4,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.25 : 5,029.70 = 3,206.09 : x
  2. Step 2: Convert to fraction form
    3,656.25/5,029.70 = 3,206.09/x
  3. Step 3: Cross multiply
    3,656.25x = 5,029.70 × 3,206.09
  4. Step 4: Simplify right side
    3,656.25x = 16,125,667.42
  5. Step 5: Solve for x
    x = 16,125,667.42/3,656.25
  6. Step 6: Final answer
    x = 4,410.44

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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.