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Finding the Fourth Proportional to 5,781.36, 8,664.84 and 3,006.41

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Solution

The fourth proportional to 5,781.36, 8,664.84 and 3,006.41 is: 4,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.36 : 8,664.84 = 3,006.41 : x
  2. Step 2: Convert to fraction form
    5,781.36/8,664.84 = 3,006.41/x
  3. Step 3: Cross multiply
    5,781.36x = 8,664.84 × 3,006.41
  4. Step 4: Simplify right side
    5,781.36x = 26,050,018.30
  5. Step 5: Solve for x
    x = 26,050,018.30/5,781.36
  6. Step 6: Final answer
    x = 4,505.86

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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.