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Finding the Fourth Proportional to 3,763.14, 5,639.96 and 1,914.72

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Solution

The fourth proportional to 3,763.14, 5,639.96 and 1,914.72 is: 2,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.14 : 5,639.96 = 1,914.72 : x
  2. Step 2: Convert to fraction form
    3,763.14/5,639.96 = 1,914.72/x
  3. Step 3: Cross multiply
    3,763.14x = 5,639.96 × 1,914.72
  4. Step 4: Simplify right side
    3,763.14x = 10,798,944.21
  5. Step 5: Solve for x
    x = 10,798,944.21/3,763.14
  6. Step 6: Final answer
    x = 2,869.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.