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Finding the Fourth Proportional to 3,705.70, 5,113.84 and 2,027.11

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Solution

The fourth proportional to 3,705.70, 5,113.84 and 2,027.11 is: 2,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.70 : 5,113.84 = 2,027.11 : x
  2. Step 2: Convert to fraction form
    3,705.70/5,113.84 = 2,027.11/x
  3. Step 3: Cross multiply
    3,705.70x = 5,113.84 × 2,027.11
  4. Step 4: Simplify right side
    3,705.70x = 10,366,316.20
  5. Step 5: Solve for x
    x = 10,366,316.20/3,705.70
  6. Step 6: Final answer
    x = 2,797.40

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1.5x scale

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.