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Finding the Fourth Proportional to 3,486.87, 5,231.06 and 1,732.81

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Solution

The fourth proportional to 3,486.87, 5,231.06 and 1,732.81 is: 2,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.87 : 5,231.06 = 1,732.81 : x
  2. Step 2: Convert to fraction form
    3,486.87/5,231.06 = 1,732.81/x
  3. Step 3: Cross multiply
    3,486.87x = 5,231.06 × 1,732.81
  4. Step 4: Simplify right side
    3,486.87x = 9,064,433.08
  5. Step 5: Solve for x
    x = 9,064,433.08/3,486.87
  6. Step 6: Final answer
    x = 2,599.59

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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.