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Finding the Fourth Proportional to 3,649.09, 5,035.72 and 2,077.27

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Solution

The fourth proportional to 3,649.09, 5,035.72 and 2,077.27 is: 2,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.09 : 5,035.72 = 2,077.27 : x
  2. Step 2: Convert to fraction form
    3,649.09/5,035.72 = 2,077.27/x
  3. Step 3: Cross multiply
    3,649.09x = 5,035.72 × 2,077.27
  4. Step 4: Simplify right side
    3,649.09x = 10,460,550.08
  5. Step 5: Solve for x
    x = 10,460,550.08/3,649.09
  6. Step 6: Final answer
    x = 2,866.62

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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.