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Finding the Fourth Proportional to 6,469.74, 8,928.24 and 3,675.24

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Solution

The fourth proportional to 6,469.74, 8,928.24 and 3,675.24 is: 5,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.74 : 8,928.24 = 3,675.24 : x
  2. Step 2: Convert to fraction form
    6,469.74/8,928.24 = 3,675.24/x
  3. Step 3: Cross multiply
    6,469.74x = 8,928.24 × 3,675.24
  4. Step 4: Simplify right side
    6,469.74x = 32,813,424.78
  5. Step 5: Solve for x
    x = 32,813,424.78/6,469.74
  6. Step 6: Final answer
    x = 5,071.83

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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.