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Finding the Fourth Proportional to 8,296.08, 12,448.44 and 3,678

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Solution

The fourth proportional to 8,296.08, 12,448.44 and 3,678 is: 5,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.08 : 12,448.44 = 3,678 : x
  2. Step 2: Convert to fraction form
    8,296.08/12,448.44 = 3,678/x
  3. Step 3: Cross multiply
    8,296.08x = 12,448.44 × 3,678
  4. Step 4: Simplify right side
    8,296.08x = 45,785,362.32
  5. Step 5: Solve for x
    x = 45,785,362.32/8,296.08
  6. Step 6: Final answer
    x = 5,518.92

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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.