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Finding the Fourth Proportional to 3,882.90, 5,810.67 and 3,181.14

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Solution

The fourth proportional to 3,882.90, 5,810.67 and 3,181.14 is: 4,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.90 : 5,810.67 = 3,181.14 : x
  2. Step 2: Convert to fraction form
    3,882.90/5,810.67 = 3,181.14/x
  3. Step 3: Cross multiply
    3,882.90x = 5,810.67 × 3,181.14
  4. Step 4: Simplify right side
    3,882.90x = 18,484,554.76
  5. Step 5: Solve for x
    x = 18,484,554.76/3,882.90
  6. Step 6: Final answer
    x = 4,760.50

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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.