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Finding the Fourth Proportional to 5,705.86, 8,550.42 and 2,586.82

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Solution

The fourth proportional to 5,705.86, 8,550.42 and 2,586.82 is: 3,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.86 : 8,550.42 = 2,586.82 : x
  2. Step 2: Convert to fraction form
    5,705.86/8,550.42 = 2,586.82/x
  3. Step 3: Cross multiply
    5,705.86x = 8,550.42 × 2,586.82
  4. Step 4: Simplify right side
    5,705.86x = 22,118,397.46
  5. Step 5: Solve for x
    x = 22,118,397.46/5,705.86
  6. Step 6: Final answer
    x = 3,876.44

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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.