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Finding the Fourth Proportional to 6,159.25, 8,499.82 and 3,364.75

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Solution

The fourth proportional to 6,159.25, 8,499.82 and 3,364.75 is: 4,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.25 : 8,499.82 = 3,364.75 : x
  2. Step 2: Convert to fraction form
    6,159.25/8,499.82 = 3,364.75/x
  3. Step 3: Cross multiply
    6,159.25x = 8,499.82 × 3,364.75
  4. Step 4: Simplify right side
    6,159.25x = 28,599,769.35
  5. Step 5: Solve for x
    x = 28,599,769.35/6,159.25
  6. Step 6: Final answer
    x = 4,643.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.