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Finding the Fourth Proportional to 4,092.77, 5,643.07 and 3,184.55

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Solution

The fourth proportional to 4,092.77, 5,643.07 and 3,184.55 is: 4,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.77 : 5,643.07 = 3,184.55 : x
  2. Step 2: Convert to fraction form
    4,092.77/5,643.07 = 3,184.55/x
  3. Step 3: Cross multiply
    4,092.77x = 5,643.07 × 3,184.55
  4. Step 4: Simplify right side
    4,092.77x = 17,970,594.43
  5. Step 5: Solve for x
    x = 17,970,594.43/4,092.77
  6. Step 6: Final answer
    x = 4,390.81

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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.