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Finding the Fourth Proportional to 3,706.12, 5,115.54 and 2,135.32

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Solution

The fourth proportional to 3,706.12, 5,115.54 and 2,135.32 is: 2,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.12 : 5,115.54 = 2,135.32 : x
  2. Step 2: Convert to fraction form
    3,706.12/5,115.54 = 2,135.32/x
  3. Step 3: Cross multiply
    3,706.12x = 5,115.54 × 2,135.32
  4. Step 4: Simplify right side
    3,706.12x = 10,923,314.87
  5. Step 5: Solve for x
    x = 10,923,314.87/3,706.12
  6. Step 6: Final answer
    x = 2,947.37

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Why These Related Problems?

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