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Finding the Fourth Proportional to 3,776.64, 5,211.80 and 2,098.20

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Solution

The fourth proportional to 3,776.64, 5,211.80 and 2,098.20 is: 2,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.64 : 5,211.80 = 2,098.20 : x
  2. Step 2: Convert to fraction form
    3,776.64/5,211.80 = 2,098.20/x
  3. Step 3: Cross multiply
    3,776.64x = 5,211.80 × 2,098.20
  4. Step 4: Simplify right side
    3,776.64x = 10,935,398.76
  5. Step 5: Solve for x
    x = 10,935,398.76/3,776.64
  6. Step 6: Final answer
    x = 2,895.54

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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.