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Finding the Fourth Proportional to 5,532.48, 7,644.53 and 4,422.58

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Solution

The fourth proportional to 5,532.48, 7,644.53 and 4,422.58 is: 6,110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.48 : 7,644.53 = 4,422.58 : x
  2. Step 2: Convert to fraction form
    5,532.48/7,644.53 = 4,422.58/x
  3. Step 3: Cross multiply
    5,532.48x = 7,644.53 × 4,422.58
  4. Step 4: Simplify right side
    5,532.48x = 33,808,537.43
  5. Step 5: Solve for x
    x = 33,808,537.43/5,532.48
  6. Step 6: Final answer
    x = 6,110.92

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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.