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Finding the Fourth Proportional to 3,776.71, 5,211.81 and 2,098.06

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Solution

The fourth proportional to 3,776.71, 5,211.81 and 2,098.06 is: 2,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.71 : 5,211.81 = 2,098.06 : x
  2. Step 2: Convert to fraction form
    3,776.71/5,211.81 = 2,098.06/x
  3. Step 3: Cross multiply
    3,776.71x = 5,211.81 × 2,098.06
  4. Step 4: Simplify right side
    3,776.71x = 10,934,690.09
  5. Step 5: Solve for x
    x = 10,934,690.09/3,776.71
  6. Step 6: Final answer
    x = 2,895.30

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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.