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Finding the Fourth Proportional to 5,773.89, 8,664.18 and 3,141.66

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Solution

The fourth proportional to 5,773.89, 8,664.18 and 3,141.66 is: 4,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.89 : 8,664.18 = 3,141.66 : x
  2. Step 2: Convert to fraction form
    5,773.89/8,664.18 = 3,141.66/x
  3. Step 3: Cross multiply
    5,773.89x = 8,664.18 × 3,141.66
  4. Step 4: Simplify right side
    5,773.89x = 27,219,895.96
  5. Step 5: Solve for x
    x = 27,219,895.96/5,773.89
  6. Step 6: Final answer
    x = 4,714.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.