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Finding the Fourth Proportional to 3,792.08, 5,682.68 and 3,382.16

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Solution

The fourth proportional to 3,792.08, 5,682.68 and 3,382.16 is: 5,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.08 : 5,682.68 = 3,382.16 : x
  2. Step 2: Convert to fraction form
    3,792.08/5,682.68 = 3,382.16/x
  3. Step 3: Cross multiply
    3,792.08x = 5,682.68 × 3,382.16
  4. Step 4: Simplify right side
    3,792.08x = 19,219,732.99
  5. Step 5: Solve for x
    x = 19,219,732.99/3,792.08
  6. Step 6: Final answer
    x = 5,068.39

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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.