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Finding the Fourth Proportional to 3,706.64, 5,115.23 and 2,214.68

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Solution

The fourth proportional to 3,706.64, 5,115.23 and 2,214.68 is: 3,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.64 : 5,115.23 = 2,214.68 : x
  2. Step 2: Convert to fraction form
    3,706.64/5,115.23 = 2,214.68/x
  3. Step 3: Cross multiply
    3,706.64x = 5,115.23 × 2,214.68
  4. Step 4: Simplify right side
    3,706.64x = 11,328,560.93
  5. Step 5: Solve for x
    x = 11,328,560.93/3,706.64
  6. Step 6: Final answer
    x = 3,056.29

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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.