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Finding the Fourth Proportional to 5,022, 7,528 and 2,423.52

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Solution

The fourth proportional to 5,022, 7,528 and 2,423.52 is: 3,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022 : 7,528 = 2,423.52 : x
  2. Step 2: Convert to fraction form
    5,022/7,528 = 2,423.52/x
  3. Step 3: Cross multiply
    5,022x = 7,528 × 2,423.52
  4. Step 4: Simplify right side
    5,022x = 18,244,258.56
  5. Step 5: Solve for x
    x = 18,244,258.56/5,022
  6. Step 6: Final answer
    x = 3,632.87

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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.