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Finding the Fourth Proportional to 5,889.74, 8,822.81 and 3,548.43

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Solution

The fourth proportional to 5,889.74, 8,822.81 and 3,548.43 is: 5,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.74 : 8,822.81 = 3,548.43 : x
  2. Step 2: Convert to fraction form
    5,889.74/8,822.81 = 3,548.43/x
  3. Step 3: Cross multiply
    5,889.74x = 8,822.81 × 3,548.43
  4. Step 4: Simplify right side
    5,889.74x = 31,307,105.95
  5. Step 5: Solve for x
    x = 31,307,105.95/5,889.74
  6. Step 6: Final answer
    x = 5,315.54

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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.