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Finding the Fourth Proportional to 3,690.02, 5,091.77 and 2,096.10

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Solution

The fourth proportional to 3,690.02, 5,091.77 and 2,096.10 is: 2,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.02 : 5,091.77 = 2,096.10 : x
  2. Step 2: Convert to fraction form
    3,690.02/5,091.77 = 2,096.10/x
  3. Step 3: Cross multiply
    3,690.02x = 5,091.77 × 2,096.10
  4. Step 4: Simplify right side
    3,690.02x = 10,672,848.62
  5. Step 5: Solve for x
    x = 10,672,848.62/3,690.02
  6. Step 6: Final answer
    x = 2,892.36

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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.