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Finding the Fourth Proportional to 3,770.92, 5,656.86 and 1,921.96

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Solution

The fourth proportional to 3,770.92, 5,656.86 and 1,921.96 is: 2,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.92 : 5,656.86 = 1,921.96 : x
  2. Step 2: Convert to fraction form
    3,770.92/5,656.86 = 1,921.96/x
  3. Step 3: Cross multiply
    3,770.92x = 5,656.86 × 1,921.96
  4. Step 4: Simplify right side
    3,770.92x = 10,872,258.65
  5. Step 5: Solve for x
    x = 10,872,258.65/3,770.92
  6. Step 6: Final answer
    x = 2,883.18

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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.