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Finding the Fourth Proportional to 5,849.58, 8,765.25 and 3,651.66

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Solution

The fourth proportional to 5,849.58, 8,765.25 and 3,651.66 is: 5,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.58 : 8,765.25 = 3,651.66 : x
  2. Step 2: Convert to fraction form
    5,849.58/8,765.25 = 3,651.66/x
  3. Step 3: Cross multiply
    5,849.58x = 8,765.25 × 3,651.66
  4. Step 4: Simplify right side
    5,849.58x = 32,007,712.82
  5. Step 5: Solve for x
    x = 32,007,712.82/5,849.58
  6. Step 6: Final answer
    x = 5,471.80

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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.