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Finding the Fourth Proportional to 3,705.98, 5,114.18 and 2,027.45

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Solution

The fourth proportional to 3,705.98, 5,114.18 and 2,027.45 is: 2,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.98 : 5,114.18 = 2,027.45 : x
  2. Step 2: Convert to fraction form
    3,705.98/5,114.18 = 2,027.45/x
  3. Step 3: Cross multiply
    3,705.98x = 5,114.18 × 2,027.45
  4. Step 4: Simplify right side
    3,705.98x = 10,368,708.53
  5. Step 5: Solve for x
    x = 10,368,708.53/3,705.98
  6. Step 6: Final answer
    x = 2,797.84

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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.