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Finding the Fourth Proportional to 3,776.56, 5,211.81 and 2,284.21

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Solution

The fourth proportional to 3,776.56, 5,211.81 and 2,284.21 is: 3,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.56 : 5,211.81 = 2,284.21 : x
  2. Step 2: Convert to fraction form
    3,776.56/5,211.81 = 2,284.21/x
  3. Step 3: Cross multiply
    3,776.56x = 5,211.81 × 2,284.21
  4. Step 4: Simplify right side
    3,776.56x = 11,904,868.52
  5. Step 5: Solve for x
    x = 11,904,868.52/3,776.56
  6. Step 6: Final answer
    x = 3,152.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.