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Finding the Fourth Proportional to 4,145.87, 6,209.24 and 3,776.82

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Solution

The fourth proportional to 4,145.87, 6,209.24 and 3,776.82 is: 5,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.87 : 6,209.24 = 3,776.82 : x
  2. Step 2: Convert to fraction form
    4,145.87/6,209.24 = 3,776.82/x
  3. Step 3: Cross multiply
    4,145.87x = 6,209.24 × 3,776.82
  4. Step 4: Simplify right side
    4,145.87x = 23,451,181.82
  5. Step 5: Solve for x
    x = 23,451,181.82/4,145.87
  6. Step 6: Final answer
    x = 5,656.52

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