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Finding the Fourth Proportional to 5,578.16, 8,369.46 and 2,498

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Solution

The fourth proportional to 5,578.16, 8,369.46 and 2,498 is: 3,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.16 : 8,369.46 = 2,498 : x
  2. Step 2: Convert to fraction form
    5,578.16/8,369.46 = 2,498/x
  3. Step 3: Cross multiply
    5,578.16x = 8,369.46 × 2,498
  4. Step 4: Simplify right side
    5,578.16x = 20,906,911.08
  5. Step 5: Solve for x
    x = 20,906,911.08/5,578.16
  6. Step 6: Final answer
    x = 3,747.99

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1.5x scale

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.