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Finding the Fourth Proportional to 3,649.50, 5,045.91 and 3,486.30

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Solution

The fourth proportional to 3,649.50, 5,045.91 and 3,486.30 is: 4,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.50 : 5,045.91 = 3,486.30 : x
  2. Step 2: Convert to fraction form
    3,649.50/5,045.91 = 3,486.30/x
  3. Step 3: Cross multiply
    3,649.50x = 5,045.91 × 3,486.30
  4. Step 4: Simplify right side
    3,649.50x = 17,591,556.03
  5. Step 5: Solve for x
    x = 17,591,556.03/3,649.50
  6. Step 6: Final answer
    x = 4,820.26

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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.