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Finding the Fourth Proportional to 5,299.41, 7,949.17 and 1,403.82

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Solution

The fourth proportional to 5,299.41, 7,949.17 and 1,403.82 is: 2,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.41 : 7,949.17 = 1,403.82 : x
  2. Step 2: Convert to fraction form
    5,299.41/7,949.17 = 1,403.82/x
  3. Step 3: Cross multiply
    5,299.41x = 7,949.17 × 1,403.82
  4. Step 4: Simplify right side
    5,299.41x = 11,159,205.58
  5. Step 5: Solve for x
    x = 11,159,205.58/5,299.41
  6. Step 6: Final answer
    x = 2,105.74

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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.