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Finding the Fourth Proportional to 4,838.50, 7,246.92 and 4,205.69

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Solution

The fourth proportional to 4,838.50, 7,246.92 and 4,205.69 is: 6,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.50 : 7,246.92 = 4,205.69 : x
  2. Step 2: Convert to fraction form
    4,838.50/7,246.92 = 4,205.69/x
  3. Step 3: Cross multiply
    4,838.50x = 7,246.92 × 4,205.69
  4. Step 4: Simplify right side
    4,838.50x = 30,478,282.03
  5. Step 5: Solve for x
    x = 30,478,282.03/4,838.50
  6. Step 6: Final answer
    x = 6,299.12

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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.