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Finding the Fourth Proportional to 3,560.87, 4,906.69 and 3,206.09

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Solution

The fourth proportional to 3,560.87, 4,906.69 and 3,206.09 is: 4,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.87 : 4,906.69 = 3,206.09 : x
  2. Step 2: Convert to fraction form
    3,560.87/4,906.69 = 3,206.09/x
  3. Step 3: Cross multiply
    3,560.87x = 4,906.69 × 3,206.09
  4. Step 4: Simplify right side
    3,560.87x = 15,731,257.19
  5. Step 5: Solve for x
    x = 15,731,257.19/3,560.87
  6. Step 6: Final answer
    x = 4,417.82

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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.