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Finding the Fourth Proportional to 3,776.29, 5,665.75 and 2,019.40

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Solution

The fourth proportional to 3,776.29, 5,665.75 and 2,019.40 is: 3,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.29 : 5,665.75 = 2,019.40 : x
  2. Step 2: Convert to fraction form
    3,776.29/5,665.75 = 2,019.40/x
  3. Step 3: Cross multiply
    3,776.29x = 5,665.75 × 2,019.40
  4. Step 4: Simplify right side
    3,776.29x = 11,441,396.34
  5. Step 5: Solve for x
    x = 11,441,396.34/3,776.29
  6. Step 6: Final answer
    x = 3,029.80

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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.