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Finding the Fourth Proportional to 4,100.54, 5,644.49 and 3,575.66

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Solution

The fourth proportional to 4,100.54, 5,644.49 and 3,575.66 is: 4,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.54 : 5,644.49 = 3,575.66 : x
  2. Step 2: Convert to fraction form
    4,100.54/5,644.49 = 3,575.66/x
  3. Step 3: Cross multiply
    4,100.54x = 5,644.49 × 3,575.66
  4. Step 4: Simplify right side
    4,100.54x = 20,182,731.01
  5. Step 5: Solve for x
    x = 20,182,731.01/4,100.54
  6. Step 6: Final answer
    x = 4,921.98

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