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Finding the Fourth Proportional to 3,776.34, 5,211.06 and 2,182.44

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Solution

The fourth proportional to 3,776.34, 5,211.06 and 2,182.44 is: 3,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.34 : 5,211.06 = 2,182.44 : x
  2. Step 2: Convert to fraction form
    3,776.34/5,211.06 = 2,182.44/x
  3. Step 3: Cross multiply
    3,776.34x = 5,211.06 × 2,182.44
  4. Step 4: Simplify right side
    3,776.34x = 11,372,825.79
  5. Step 5: Solve for x
    x = 11,372,825.79/3,776.34
  6. Step 6: Final answer
    x = 3,011.60

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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.