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Finding the Fourth Proportional to 3,649.26, 5,036.02 and 2,077.50

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Solution

The fourth proportional to 3,649.26, 5,036.02 and 2,077.50 is: 2,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.26 : 5,036.02 = 2,077.50 : x
  2. Step 2: Convert to fraction form
    3,649.26/5,036.02 = 2,077.50/x
  3. Step 3: Cross multiply
    3,649.26x = 5,036.02 × 2,077.50
  4. Step 4: Simplify right side
    3,649.26x = 10,462,331.55
  5. Step 5: Solve for x
    x = 10,462,331.55/3,649.26
  6. Step 6: Final answer
    x = 2,866.97

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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.