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Finding the Fourth Proportional to 5,528.50, 8,292.74 and 4,552.55

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Solution

The fourth proportional to 5,528.50, 8,292.74 and 4,552.55 is: 6,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528.50 : 8,292.74 = 4,552.55 : x
  2. Step 2: Convert to fraction form
    5,528.50/8,292.74 = 4,552.55/x
  3. Step 3: Cross multiply
    5,528.50x = 8,292.74 × 4,552.55
  4. Step 4: Simplify right side
    5,528.50x = 37,753,049.26
  5. Step 5: Solve for x
    x = 37,753,049.26/5,528.50
  6. Step 6: Final answer
    x = 6,828.81

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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.