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Finding the Fourth Proportional to 3,706.47, 5,116.22 and 2,135.19

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Solution

The fourth proportional to 3,706.47, 5,116.22 and 2,135.19 is: 2,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.47 : 5,116.22 = 2,135.19 : x
  2. Step 2: Convert to fraction form
    3,706.47/5,116.22 = 2,135.19/x
  3. Step 3: Cross multiply
    3,706.47x = 5,116.22 × 2,135.19
  4. Step 4: Simplify right side
    3,706.47x = 10,924,091.11
  5. Step 5: Solve for x
    x = 10,924,091.11/3,706.47
  6. Step 6: Final answer
    x = 2,947.30

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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.