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Finding the Fourth Proportional to 3,706.26, 5,114.61 and 2,027.63

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Solution

The fourth proportional to 3,706.26, 5,114.61 and 2,027.63 is: 2,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.26 : 5,114.61 = 2,027.63 : x
  2. Step 2: Convert to fraction form
    3,706.26/5,114.61 = 2,027.63/x
  3. Step 3: Cross multiply
    3,706.26x = 5,114.61 × 2,027.63
  4. Step 4: Simplify right side
    3,706.26x = 10,370,557.06
  5. Step 5: Solve for x
    x = 10,370,557.06/3,706.26
  6. Step 6: Final answer
    x = 2,798.12

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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.