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Finding the Fourth Proportional to 3,697.84, 5,105.46 and 2,372.14

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Solution

The fourth proportional to 3,697.84, 5,105.46 and 2,372.14 is: 3,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.84 : 5,105.46 = 2,372.14 : x
  2. Step 2: Convert to fraction form
    3,697.84/5,105.46 = 2,372.14/x
  3. Step 3: Cross multiply
    3,697.84x = 5,105.46 × 2,372.14
  4. Step 4: Simplify right side
    3,697.84x = 12,110,865.88
  5. Step 5: Solve for x
    x = 12,110,865.88/3,697.84
  6. Step 6: Final answer
    x = 3,275.12

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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.