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Finding the Fourth Proportional to 3,705.98, 5,114.38 and 2,027.48

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Solution

The fourth proportional to 3,705.98, 5,114.38 and 2,027.48 is: 2,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.98 : 5,114.38 = 2,027.48 : x
  2. Step 2: Convert to fraction form
    3,705.98/5,114.38 = 2,027.48/x
  3. Step 3: Cross multiply
    3,705.98x = 5,114.38 × 2,027.48
  4. Step 4: Simplify right side
    3,705.98x = 10,369,303.16
  5. Step 5: Solve for x
    x = 10,369,303.16/3,705.98
  6. Step 6: Final answer
    x = 2,797.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.