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Finding the Fourth Proportional to 3,411.85, 4,709.67 and 2,295.97

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Solution

The fourth proportional to 3,411.85, 4,709.67 and 2,295.97 is: 3,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.85 : 4,709.67 = 2,295.97 : x
  2. Step 2: Convert to fraction form
    3,411.85/4,709.67 = 2,295.97/x
  3. Step 3: Cross multiply
    3,411.85x = 4,709.67 × 2,295.97
  4. Step 4: Simplify right side
    3,411.85x = 10,813,249.26
  5. Step 5: Solve for x
    x = 10,813,249.26/3,411.85
  6. Step 6: Final answer
    x = 3,169.32

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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.