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Finding the Fourth Proportional to 3,693, 5,096.36 and 2,037

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Solution

The fourth proportional to 3,693, 5,096.36 and 2,037 is: 2,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693 : 5,096.36 = 2,037 : x
  2. Step 2: Convert to fraction form
    3,693/5,096.36 = 2,037/x
  3. Step 3: Cross multiply
    3,693x = 5,096.36 × 2,037
  4. Step 4: Simplify right side
    3,693x = 10,381,285.32
  5. Step 5: Solve for x
    x = 10,381,285.32/3,693
  6. Step 6: Final answer
    x = 2,811.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.