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Finding the Fourth Proportional to 5,494.97, 7,581.90 and 3,137.05

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Solution

The fourth proportional to 5,494.97, 7,581.90 and 3,137.05 is: 4,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.97 : 7,581.90 = 3,137.05 : x
  2. Step 2: Convert to fraction form
    5,494.97/7,581.90 = 3,137.05/x
  3. Step 3: Cross multiply
    5,494.97x = 7,581.90 × 3,137.05
  4. Step 4: Simplify right side
    5,494.97x = 23,784,799.40
  5. Step 5: Solve for x
    x = 23,784,799.40/5,494.97
  6. Step 6: Final answer
    x = 4,328.47

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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.