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Finding the Fourth Proportional to 3,649.50, 5,036.31 and 2,077.74

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Solution

The fourth proportional to 3,649.50, 5,036.31 and 2,077.74 is: 2,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.50 : 5,036.31 = 2,077.74 : x
  2. Step 2: Convert to fraction form
    3,649.50/5,036.31 = 2,077.74/x
  3. Step 3: Cross multiply
    3,649.50x = 5,036.31 × 2,077.74
  4. Step 4: Simplify right side
    3,649.50x = 10,464,142.74
  5. Step 5: Solve for x
    x = 10,464,142.74/3,649.50
  6. Step 6: Final answer
    x = 2,867.28

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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.