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Finding the Fourth Proportional to 5,546.48, 7,649.17 and 3,556.64

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Solution

The fourth proportional to 5,546.48, 7,649.17 and 3,556.64 is: 4,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.48 : 7,649.17 = 3,556.64 : x
  2. Step 2: Convert to fraction form
    5,546.48/7,649.17 = 3,556.64/x
  3. Step 3: Cross multiply
    5,546.48x = 7,649.17 × 3,556.64
  4. Step 4: Simplify right side
    5,546.48x = 27,205,354.22
  5. Step 5: Solve for x
    x = 27,205,354.22/5,546.48
  6. Step 6: Final answer
    x = 4,904.98

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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.