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Finding the Fourth Proportional to 6,504.22, 8,975.88 and 3,709.90

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Solution

The fourth proportional to 6,504.22, 8,975.88 and 3,709.90 is: 5,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.22 : 8,975.88 = 3,709.90 : x
  2. Step 2: Convert to fraction form
    6,504.22/8,975.88 = 3,709.90/x
  3. Step 3: Cross multiply
    6,504.22x = 8,975.88 × 3,709.90
  4. Step 4: Simplify right side
    6,504.22x = 33,299,617.21
  5. Step 5: Solve for x
    x = 33,299,617.21/6,504.22
  6. Step 6: Final answer
    x = 5,119.69

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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.