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Finding the Fourth Proportional to 5,664.67, 8,492.51 and 2,153.97

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Solution

The fourth proportional to 5,664.67, 8,492.51 and 2,153.97 is: 3,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.67 : 8,492.51 = 2,153.97 : x
  2. Step 2: Convert to fraction form
    5,664.67/8,492.51 = 2,153.97/x
  3. Step 3: Cross multiply
    5,664.67x = 8,492.51 × 2,153.97
  4. Step 4: Simplify right side
    5,664.67x = 18,292,584.18
  5. Step 5: Solve for x
    x = 18,292,584.18/5,664.67
  6. Step 6: Final answer
    x = 3,229.24

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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.