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Finding the Fourth Proportional to 5,084, 7,626 and 1,621.52

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Solution

The fourth proportional to 5,084, 7,626 and 1,621.52 is: 2,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084 : 7,626 = 1,621.52 : x
  2. Step 2: Convert to fraction form
    5,084/7,626 = 1,621.52/x
  3. Step 3: Cross multiply
    5,084x = 7,626 × 1,621.52
  4. Step 4: Simplify right side
    5,084x = 12,365,711.52
  5. Step 5: Solve for x
    x = 12,365,711.52/5,084
  6. Step 6: Final answer
    x = 2,432.28

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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.