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Finding the Fourth Proportional to 3,776.12, 5,662 and 1,464.92

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Solution

The fourth proportional to 3,776.12, 5,662 and 1,464.92 is: 2,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.12 : 5,662 = 1,464.92 : x
  2. Step 2: Convert to fraction form
    3,776.12/5,662 = 1,464.92/x
  3. Step 3: Cross multiply
    3,776.12x = 5,662 × 1,464.92
  4. Step 4: Simplify right side
    3,776.12x = 8,294,377.04
  5. Step 5: Solve for x
    x = 8,294,377.04/3,776.12
  6. Step 6: Final answer
    x = 2,196.53

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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.