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Finding the Fourth Proportional to 5,336, 8,004 and 3,288.32

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Solution

The fourth proportional to 5,336, 8,004 and 3,288.32 is: 4,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336 : 8,004 = 3,288.32 : x
  2. Step 2: Convert to fraction form
    5,336/8,004 = 3,288.32/x
  3. Step 3: Cross multiply
    5,336x = 8,004 × 3,288.32
  4. Step 4: Simplify right side
    5,336x = 26,319,713.28
  5. Step 5: Solve for x
    x = 26,319,713.28/5,336
  6. Step 6: Final answer
    x = 4,932.48

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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.