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Finding the Fourth Proportional to 5,929.29, 8,896.97 and 2,644.53

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Solution

The fourth proportional to 5,929.29, 8,896.97 and 2,644.53 is: 3,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.29 : 8,896.97 = 2,644.53 : x
  2. Step 2: Convert to fraction form
    5,929.29/8,896.97 = 2,644.53/x
  3. Step 3: Cross multiply
    5,929.29x = 8,896.97 × 2,644.53
  4. Step 4: Simplify right side
    5,929.29x = 23,528,290.85
  5. Step 5: Solve for x
    x = 23,528,290.85/5,929.29
  6. Step 6: Final answer
    x = 3,968.15

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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.