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Finding the Fourth Proportional to 5,036.86, 6,954.12 and 3,245.14

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Solution

The fourth proportional to 5,036.86, 6,954.12 and 3,245.14 is: 4,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.86 : 6,954.12 = 3,245.14 : x
  2. Step 2: Convert to fraction form
    5,036.86/6,954.12 = 3,245.14/x
  3. Step 3: Cross multiply
    5,036.86x = 6,954.12 × 3,245.14
  4. Step 4: Simplify right side
    5,036.86x = 22,567,092.98
  5. Step 5: Solve for x
    x = 22,567,092.98/5,036.86
  6. Step 6: Final answer
    x = 4,480.39

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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.