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Finding the Fourth Proportional to 3,706.05, 5,112.87 and 2,214.03

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Solution

The fourth proportional to 3,706.05, 5,112.87 and 2,214.03 is: 3,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.05 : 5,112.87 = 2,214.03 : x
  2. Step 2: Convert to fraction form
    3,706.05/5,112.87 = 2,214.03/x
  3. Step 3: Cross multiply
    3,706.05x = 5,112.87 × 2,214.03
  4. Step 4: Simplify right side
    3,706.05x = 11,320,070.89
  5. Step 5: Solve for x
    x = 11,320,070.89/3,706.05
  6. Step 6: Final answer
    x = 3,054.48

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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.