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Finding the Fourth Proportional to 5,794.31, 8,649.51 and 5,093.69

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Solution

The fourth proportional to 5,794.31, 8,649.51 and 5,093.69 is: 7,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.31 : 8,649.51 = 5,093.69 : x
  2. Step 2: Convert to fraction form
    5,794.31/8,649.51 = 5,093.69/x
  3. Step 3: Cross multiply
    5,794.31x = 8,649.51 × 5,093.69
  4. Step 4: Simplify right side
    5,794.31x = 44,057,922.59
  5. Step 5: Solve for x
    x = 44,057,922.59/5,794.31
  6. Step 6: Final answer
    x = 7,603.65

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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.