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Finding the Fourth Proportional to 3,478.22, 4,797.15 and 3,057.68

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Solution

The fourth proportional to 3,478.22, 4,797.15 and 3,057.68 is: 4,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.22 : 4,797.15 = 3,057.68 : x
  2. Step 2: Convert to fraction form
    3,478.22/4,797.15 = 3,057.68/x
  3. Step 3: Cross multiply
    3,478.22x = 4,797.15 × 3,057.68
  4. Step 4: Simplify right side
    3,478.22x = 14,668,122.33
  5. Step 5: Solve for x
    x = 14,668,122.33/3,478.22
  6. Step 6: Final answer
    x = 4,217.14

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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.