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Finding the Fourth Proportional to 3,802.43, 5,704.28 and 1,336.61

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Solution

The fourth proportional to 3,802.43, 5,704.28 and 1,336.61 is: 2,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.43 : 5,704.28 = 1,336.61 : x
  2. Step 2: Convert to fraction form
    3,802.43/5,704.28 = 1,336.61/x
  3. Step 3: Cross multiply
    3,802.43x = 5,704.28 × 1,336.61
  4. Step 4: Simplify right side
    3,802.43x = 7,624,362.49
  5. Step 5: Solve for x
    x = 7,624,362.49/3,802.43
  6. Step 6: Final answer
    x = 2,005.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.