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Finding the Fourth Proportional to 3,706.02, 5,114.29 and 2,027.40

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Solution

The fourth proportional to 3,706.02, 5,114.29 and 2,027.40 is: 2,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.02 : 5,114.29 = 2,027.40 : x
  2. Step 2: Convert to fraction form
    3,706.02/5,114.29 = 2,027.40/x
  3. Step 3: Cross multiply
    3,706.02x = 5,114.29 × 2,027.40
  4. Step 4: Simplify right side
    3,706.02x = 10,368,691.10
  5. Step 5: Solve for x
    x = 10,368,691.10/3,706.02
  6. Step 6: Final answer
    x = 2,797.80

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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.