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Finding the Fourth Proportional to 3,706.88, 5,115.56 and 2,135.34

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Solution

The fourth proportional to 3,706.88, 5,115.56 and 2,135.34 is: 2,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.88 : 5,115.56 = 2,135.34 : x
  2. Step 2: Convert to fraction form
    3,706.88/5,115.56 = 2,135.34/x
  3. Step 3: Cross multiply
    3,706.88x = 5,115.56 × 2,135.34
  4. Step 4: Simplify right side
    3,706.88x = 10,923,449.21
  5. Step 5: Solve for x
    x = 10,923,449.21/3,706.88
  6. Step 6: Final answer
    x = 2,946.81

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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.