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Finding the Fourth Proportional to 5,965.65, 8,231.29 and 3,607.74

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Solution

The fourth proportional to 5,965.65, 8,231.29 and 3,607.74 is: 4,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.65 : 8,231.29 = 3,607.74 : x
  2. Step 2: Convert to fraction form
    5,965.65/8,231.29 = 3,607.74/x
  3. Step 3: Cross multiply
    5,965.65x = 8,231.29 × 3,607.74
  4. Step 4: Simplify right side
    5,965.65x = 29,696,354.18
  5. Step 5: Solve for x
    x = 29,696,354.18/5,965.65
  6. Step 6: Final answer
    x = 4,977.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.