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Finding the Fourth Proportional to 3,690.70, 5,098.04 and 2,735.56

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Solution

The fourth proportional to 3,690.70, 5,098.04 and 2,735.56 is: 3,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.70 : 5,098.04 = 2,735.56 : x
  2. Step 2: Convert to fraction form
    3,690.70/5,098.04 = 2,735.56/x
  3. Step 3: Cross multiply
    3,690.70x = 5,098.04 × 2,735.56
  4. Step 4: Simplify right side
    3,690.70x = 13,945,994.30
  5. Step 5: Solve for x
    x = 13,945,994.30/3,690.70
  6. Step 6: Final answer
    x = 3,778.69

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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.