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Finding the Fourth Proportional to 4,092.81, 6,142.27 and 1,594.39

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Solution

The fourth proportional to 4,092.81, 6,142.27 and 1,594.39 is: 2,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.81 : 6,142.27 = 1,594.39 : x
  2. Step 2: Convert to fraction form
    4,092.81/6,142.27 = 1,594.39/x
  3. Step 3: Cross multiply
    4,092.81x = 6,142.27 × 1,594.39
  4. Step 4: Simplify right side
    4,092.81x = 9,793,173.87
  5. Step 5: Solve for x
    x = 9,793,173.87/4,092.81
  6. Step 6: Final answer
    x = 2,392.78

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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.