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Finding the Fourth Proportional to 5,333, 8,002.74 and 5,009

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Solution

The fourth proportional to 5,333, 8,002.74 and 5,009 is: 7,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333 : 8,002.74 = 5,009 : x
  2. Step 2: Convert to fraction form
    5,333/8,002.74 = 5,009/x
  3. Step 3: Cross multiply
    5,333x = 8,002.74 × 5,009
  4. Step 4: Simplify right side
    5,333x = 40,085,724.66
  5. Step 5: Solve for x
    x = 40,085,724.66/5,333
  6. Step 6: Final answer
    x = 7,516.54

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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.