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Finding the Fourth Proportional to 3,312.57, 4,571.78 and 2,137.06

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Solution

The fourth proportional to 3,312.57, 4,571.78 and 2,137.06 is: 2,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.57 : 4,571.78 = 2,137.06 : x
  2. Step 2: Convert to fraction form
    3,312.57/4,571.78 = 2,137.06/x
  3. Step 3: Cross multiply
    3,312.57x = 4,571.78 × 2,137.06
  4. Step 4: Simplify right side
    3,312.57x = 9,770,145.31
  5. Step 5: Solve for x
    x = 9,770,145.31/3,312.57
  6. Step 6: Final answer
    x = 2,949.42

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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.