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Finding the Fourth Proportional to 5,509.92, 8,268 and 2,225.34

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Solution

The fourth proportional to 5,509.92, 8,268 and 2,225.34 is: 3,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.92 : 8,268 = 2,225.34 : x
  2. Step 2: Convert to fraction form
    5,509.92/8,268 = 2,225.34/x
  3. Step 3: Cross multiply
    5,509.92x = 8,268 × 2,225.34
  4. Step 4: Simplify right side
    5,509.92x = 18,399,111.12
  5. Step 5: Solve for x
    x = 18,399,111.12/5,509.92
  6. Step 6: Final answer
    x = 3,339.27

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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.