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Finding the Fourth Proportional to 3,765.18, 5,649.03 and 1,817.13

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Solution

The fourth proportional to 3,765.18, 5,649.03 and 1,817.13 is: 2,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.18 : 5,649.03 = 1,817.13 : x
  2. Step 2: Convert to fraction form
    3,765.18/5,649.03 = 1,817.13/x
  3. Step 3: Cross multiply
    3,765.18x = 5,649.03 × 1,817.13
  4. Step 4: Simplify right side
    3,765.18x = 10,265,021.88
  5. Step 5: Solve for x
    x = 10,265,021.88/3,765.18
  6. Step 6: Final answer
    x = 2,726.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.