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Finding the Fourth Proportional to 6,448.22, 8,898.09 and 3,615.38

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Solution

The fourth proportional to 6,448.22, 8,898.09 and 3,615.38 is: 4,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.22 : 8,898.09 = 3,615.38 : x
  2. Step 2: Convert to fraction form
    6,448.22/8,898.09 = 3,615.38/x
  3. Step 3: Cross multiply
    6,448.22x = 8,898.09 × 3,615.38
  4. Step 4: Simplify right side
    6,448.22x = 32,169,976.62
  5. Step 5: Solve for x
    x = 32,169,976.62/6,448.22
  6. Step 6: Final answer
    x = 4,988.97

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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.