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Finding the Fourth Proportional to 6,504.29, 8,975.91 and 3,709.79

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Solution

The fourth proportional to 6,504.29, 8,975.91 and 3,709.79 is: 5,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.29 : 8,975.91 = 3,709.79 : x
  2. Step 2: Convert to fraction form
    6,504.29/8,975.91 = 3,709.79/x
  3. Step 3: Cross multiply
    6,504.29x = 8,975.91 × 3,709.79
  4. Step 4: Simplify right side
    6,504.29x = 33,298,696.28
  5. Step 5: Solve for x
    x = 33,298,696.28/6,504.29
  6. Step 6: Final answer
    x = 5,119.50

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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.