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Finding the Fourth Proportional to 3,649.48, 5,036.31 and 2,077.57

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Solution

The fourth proportional to 3,649.48, 5,036.31 and 2,077.57 is: 2,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.48 : 5,036.31 = 2,077.57 : x
  2. Step 2: Convert to fraction form
    3,649.48/5,036.31 = 2,077.57/x
  3. Step 3: Cross multiply
    3,649.48x = 5,036.31 × 2,077.57
  4. Step 4: Simplify right side
    3,649.48x = 10,463,286.57
  5. Step 5: Solve for x
    x = 10,463,286.57/3,649.48
  6. Step 6: Final answer
    x = 2,867.06

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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.