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Finding the Fourth Proportional to 4,156.44, 6,194.15 and 4,036.49

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Solution

The fourth proportional to 4,156.44, 6,194.15 and 4,036.49 is: 6,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.44 : 6,194.15 = 4,036.49 : x
  2. Step 2: Convert to fraction form
    4,156.44/6,194.15 = 4,036.49/x
  3. Step 3: Cross multiply
    4,156.44x = 6,194.15 × 4,036.49
  4. Step 4: Simplify right side
    4,156.44x = 25,002,624.53
  5. Step 5: Solve for x
    x = 25,002,624.53/4,156.44
  6. Step 6: Final answer
    x = 6,015.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.