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Finding the Fourth Proportional to 5,093.47, 7,642.50 and 3,244.11

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Solution

The fourth proportional to 5,093.47, 7,642.50 and 3,244.11 is: 4,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.47 : 7,642.50 = 3,244.11 : x
  2. Step 2: Convert to fraction form
    5,093.47/7,642.50 = 3,244.11/x
  3. Step 3: Cross multiply
    5,093.47x = 7,642.50 × 3,244.11
  4. Step 4: Simplify right side
    5,093.47x = 24,793,110.68
  5. Step 5: Solve for x
    x = 24,793,110.68/5,093.47
  6. Step 6: Final answer
    x = 4,867.63

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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.