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Finding the Fourth Proportional to 3,639.92, 5,034.92 and 3,404.84

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Solution

The fourth proportional to 3,639.92, 5,034.92 and 3,404.84 is: 4,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.92 : 5,034.92 = 3,404.84 : x
  2. Step 2: Convert to fraction form
    3,639.92/5,034.92 = 3,404.84/x
  3. Step 3: Cross multiply
    3,639.92x = 5,034.92 × 3,404.84
  4. Step 4: Simplify right side
    3,639.92x = 17,143,054.81
  5. Step 5: Solve for x
    x = 17,143,054.81/3,639.92
  6. Step 6: Final answer
    x = 4,709.74

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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.