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Finding the Fourth Proportional to 3,688.63, 5,089.22 and 2,195.80

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Solution

The fourth proportional to 3,688.63, 5,089.22 and 2,195.80 is: 3,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.63 : 5,089.22 = 2,195.80 : x
  2. Step 2: Convert to fraction form
    3,688.63/5,089.22 = 2,195.80/x
  3. Step 3: Cross multiply
    3,688.63x = 5,089.22 × 2,195.80
  4. Step 4: Simplify right side
    3,688.63x = 11,174,909.28
  5. Step 5: Solve for x
    x = 11,174,909.28/3,688.63
  6. Step 6: Final answer
    x = 3,029.56

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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.