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Finding the Fourth Proportional to 3,494.74, 4,819.17 and 2,315.38

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Solution

The fourth proportional to 3,494.74, 4,819.17 and 2,315.38 is: 3,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.74 : 4,819.17 = 2,315.38 : x
  2. Step 2: Convert to fraction form
    3,494.74/4,819.17 = 2,315.38/x
  3. Step 3: Cross multiply
    3,494.74x = 4,819.17 × 2,315.38
  4. Step 4: Simplify right side
    3,494.74x = 11,158,209.83
  5. Step 5: Solve for x
    x = 11,158,209.83/3,494.74
  6. Step 6: Final answer
    x = 3,192.86

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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.