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Finding the Fourth Proportional to 5,491.98, 7,578.95 and 2,974.10

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Solution

The fourth proportional to 5,491.98, 7,578.95 and 2,974.10 is: 4,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.98 : 7,578.95 = 2,974.10 : x
  2. Step 2: Convert to fraction form
    5,491.98/7,578.95 = 2,974.10/x
  3. Step 3: Cross multiply
    5,491.98x = 7,578.95 × 2,974.10
  4. Step 4: Simplify right side
    5,491.98x = 22,540,555.20
  5. Step 5: Solve for x
    x = 22,540,555.20/5,491.98
  6. Step 6: Final answer
    x = 4,104.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.