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Finding the Fourth Proportional to 8,900, 13,349.08 and 2,325.33

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Solution

The fourth proportional to 8,900, 13,349.08 and 2,325.33 is: 3,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900 : 13,349.08 = 2,325.33 : x
  2. Step 2: Convert to fraction form
    8,900/13,349.08 = 2,325.33/x
  3. Step 3: Cross multiply
    8,900x = 13,349.08 × 2,325.33
  4. Step 4: Simplify right side
    8,900x = 31,041,016.20
  5. Step 5: Solve for x
    x = 31,041,016.20/8,900
  6. Step 6: Final answer
    x = 3,487.75

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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.