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Finding the Fourth Proportional to 3,776.92, 5,211.92 and 2,098.22

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Solution

The fourth proportional to 3,776.92, 5,211.92 and 2,098.22 is: 2,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.92 : 5,211.92 = 2,098.22 : x
  2. Step 2: Convert to fraction form
    3,776.92/5,211.92 = 2,098.22/x
  3. Step 3: Cross multiply
    3,776.92x = 5,211.92 × 2,098.22
  4. Step 4: Simplify right side
    3,776.92x = 10,935,773.06
  5. Step 5: Solve for x
    x = 10,935,773.06/3,776.92
  6. Step 6: Final answer
    x = 2,895.42

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1.5x scale

Why These Related Problems?

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