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Finding the Fourth Proportional to 3,706.31, 5,114.70 and 2,027.72

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Solution

The fourth proportional to 3,706.31, 5,114.70 and 2,027.72 is: 2,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.31 : 5,114.70 = 2,027.72 : x
  2. Step 2: Convert to fraction form
    3,706.31/5,114.70 = 2,027.72/x
  3. Step 3: Cross multiply
    3,706.31x = 5,114.70 × 2,027.72
  4. Step 4: Simplify right side
    3,706.31x = 10,371,153.91
  5. Step 5: Solve for x
    x = 10,371,153.91/3,706.31
  6. Step 6: Final answer
    x = 2,798.25

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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.