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Finding the Fourth Proportional to 4,528.50, 6,788.49 and 4,122.69

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Solution

The fourth proportional to 4,528.50, 6,788.49 and 4,122.69 is: 6,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528.50 : 6,788.49 = 4,122.69 : x
  2. Step 2: Convert to fraction form
    4,528.50/6,788.49 = 4,122.69/x
  3. Step 3: Cross multiply
    4,528.50x = 6,788.49 × 4,122.69
  4. Step 4: Simplify right side
    4,528.50x = 27,986,839.84
  5. Step 5: Solve for x
    x = 27,986,839.84/4,528.50
  6. Step 6: Final answer
    x = 6,180.16

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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.