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Finding the Fourth Proportional to 5,532.81, 7,644.98 and 4,422.90

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Solution

The fourth proportional to 5,532.81, 7,644.98 and 4,422.90 is: 6,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.81 : 7,644.98 = 4,422.90 : x
  2. Step 2: Convert to fraction form
    5,532.81/7,644.98 = 4,422.90/x
  3. Step 3: Cross multiply
    5,532.81x = 7,644.98 × 4,422.90
  4. Step 4: Simplify right side
    5,532.81x = 33,813,021.77
  5. Step 5: Solve for x
    x = 33,813,021.77/5,532.81
  6. Step 6: Final answer
    x = 6,111.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.