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Finding the Fourth Proportional to 5,904.44, 8,842.26 and 2,819

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Solution

The fourth proportional to 5,904.44, 8,842.26 and 2,819 is: 4,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.44 : 8,842.26 = 2,819 : x
  2. Step 2: Convert to fraction form
    5,904.44/8,842.26 = 2,819/x
  3. Step 3: Cross multiply
    5,904.44x = 8,842.26 × 2,819
  4. Step 4: Simplify right side
    5,904.44x = 24,926,330.94
  5. Step 5: Solve for x
    x = 24,926,330.94/5,904.44
  6. Step 6: Final answer
    x = 4,221.62

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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.