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Finding the Fourth Proportional to 3,564.86, 5,336.90 and 2,380.22

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Solution

The fourth proportional to 3,564.86, 5,336.90 and 2,380.22 is: 3,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.86 : 5,336.90 = 2,380.22 : x
  2. Step 2: Convert to fraction form
    3,564.86/5,336.90 = 2,380.22/x
  3. Step 3: Cross multiply
    3,564.86x = 5,336.90 × 2,380.22
  4. Step 4: Simplify right side
    3,564.86x = 12,702,996.12
  5. Step 5: Solve for x
    x = 12,702,996.12/3,564.86
  6. Step 6: Final answer
    x = 3,563.39

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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.