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Finding the Fourth Proportional to 5,338.96, 8,010.15 and 2,416.48

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Solution

The fourth proportional to 5,338.96, 8,010.15 and 2,416.48 is: 3,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.96 : 8,010.15 = 2,416.48 : x
  2. Step 2: Convert to fraction form
    5,338.96/8,010.15 = 2,416.48/x
  3. Step 3: Cross multiply
    5,338.96x = 8,010.15 × 2,416.48
  4. Step 4: Simplify right side
    5,338.96x = 19,356,367.27
  5. Step 5: Solve for x
    x = 19,356,367.27/5,338.96
  6. Step 6: Final answer
    x = 3,625.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.