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Finding the Fourth Proportional to 3,842.06, 5,764.72 and 2,285.06

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Solution

The fourth proportional to 3,842.06, 5,764.72 and 2,285.06 is: 3,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.06 : 5,764.72 = 2,285.06 : x
  2. Step 2: Convert to fraction form
    3,842.06/5,764.72 = 2,285.06/x
  3. Step 3: Cross multiply
    3,842.06x = 5,764.72 × 2,285.06
  4. Step 4: Simplify right side
    3,842.06x = 13,172,731.08
  5. Step 5: Solve for x
    x = 13,172,731.08/3,842.06
  6. Step 6: Final answer
    x = 3,428.56

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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.