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Finding the Fourth Proportional to 5,792.86, 7,992.81 and 3,907.94

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Solution

The fourth proportional to 5,792.86, 7,992.81 and 3,907.94 is: 5,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.86 : 7,992.81 = 3,907.94 : x
  2. Step 2: Convert to fraction form
    5,792.86/7,992.81 = 3,907.94/x
  3. Step 3: Cross multiply
    5,792.86x = 7,992.81 × 3,907.94
  4. Step 4: Simplify right side
    5,792.86x = 31,235,421.91
  5. Step 5: Solve for x
    x = 31,235,421.91/5,792.86
  6. Step 6: Final answer
    x = 5,392.06

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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.