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Finding the Fourth Proportional to 3,893.54, 5,345.94 and 3,792.06

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Solution

The fourth proportional to 3,893.54, 5,345.94 and 3,792.06 is: 5,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.54 : 5,345.94 = 3,792.06 : x
  2. Step 2: Convert to fraction form
    3,893.54/5,345.94 = 3,792.06/x
  3. Step 3: Cross multiply
    3,893.54x = 5,345.94 × 3,792.06
  4. Step 4: Simplify right side
    3,893.54x = 20,272,125.24
  5. Step 5: Solve for x
    x = 20,272,125.24/3,893.54
  6. Step 6: Final answer
    x = 5,206.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.