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Finding the Fourth Proportional to 3,756.99, 5,633.64 and 2,197.39

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Solution

The fourth proportional to 3,756.99, 5,633.64 and 2,197.39 is: 3,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.99 : 5,633.64 = 2,197.39 : x
  2. Step 2: Convert to fraction form
    3,756.99/5,633.64 = 2,197.39/x
  3. Step 3: Cross multiply
    3,756.99x = 5,633.64 × 2,197.39
  4. Step 4: Simplify right side
    3,756.99x = 12,379,304.20
  5. Step 5: Solve for x
    x = 12,379,304.20/3,756.99
  6. Step 6: Final answer
    x = 3,295.01

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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.