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Finding the Fourth Proportional to 3,776.36, 5,211.36 and 2,098.04

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Solution

The fourth proportional to 3,776.36, 5,211.36 and 2,098.04 is: 2,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.36 : 5,211.36 = 2,098.04 : x
  2. Step 2: Convert to fraction form
    3,776.36/5,211.36 = 2,098.04/x
  3. Step 3: Cross multiply
    3,776.36x = 5,211.36 × 2,098.04
  4. Step 4: Simplify right side
    3,776.36x = 10,933,615.68
  5. Step 5: Solve for x
    x = 10,933,615.68/3,776.36
  6. Step 6: Final answer
    x = 2,895.28

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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.