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Finding the Fourth Proportional to 3,770.20, 5,655.30 and 3,610.23

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Solution

The fourth proportional to 3,770.20, 5,655.30 and 3,610.23 is: 5,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.20 : 5,655.30 = 3,610.23 : x
  2. Step 2: Convert to fraction form
    3,770.20/5,655.30 = 3,610.23/x
  3. Step 3: Cross multiply
    3,770.20x = 5,655.30 × 3,610.23
  4. Step 4: Simplify right side
    3,770.20x = 20,416,933.72
  5. Step 5: Solve for x
    x = 20,416,933.72/3,770.20
  6. Step 6: Final answer
    x = 5,415.35

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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.