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Finding the Fourth Proportional to 3,649.56, 5,036.38 and 2,158.21

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Solution

The fourth proportional to 3,649.56, 5,036.38 and 2,158.21 is: 2,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.56 : 5,036.38 = 2,158.21 : x
  2. Step 2: Convert to fraction form
    3,649.56/5,036.38 = 2,158.21/x
  3. Step 3: Cross multiply
    3,649.56x = 5,036.38 × 2,158.21
  4. Step 4: Simplify right side
    3,649.56x = 10,869,566.58
  5. Step 5: Solve for x
    x = 10,869,566.58/3,649.56
  6. Step 6: Final answer
    x = 2,978.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.