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Finding the Fourth Proportional to 3,776.63, 5,211.68 and 2,097.96

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Solution

The fourth proportional to 3,776.63, 5,211.68 and 2,097.96 is: 2,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.63 : 5,211.68 = 2,097.96 : x
  2. Step 2: Convert to fraction form
    3,776.63/5,211.68 = 2,097.96/x
  3. Step 3: Cross multiply
    3,776.63x = 5,211.68 × 2,097.96
  4. Step 4: Simplify right side
    3,776.63x = 10,933,885.68
  5. Step 5: Solve for x
    x = 10,933,885.68/3,776.63
  6. Step 6: Final answer
    x = 2,895.14

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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.