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Finding the Fourth Proportional to 4,585.72, 6,866.94 and 3,843.38

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Solution

The fourth proportional to 4,585.72, 6,866.94 and 3,843.38 is: 5,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.72 : 6,866.94 = 3,843.38 : x
  2. Step 2: Convert to fraction form
    4,585.72/6,866.94 = 3,843.38/x
  3. Step 3: Cross multiply
    4,585.72x = 6,866.94 × 3,843.38
  4. Step 4: Simplify right side
    4,585.72x = 26,392,259.86
  5. Step 5: Solve for x
    x = 26,392,259.86/4,585.72
  6. Step 6: Final answer
    x = 5,755.31

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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.