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Finding the Fourth Proportional to 3,649.80, 5,474.70 and 3,034.20

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Solution

The fourth proportional to 3,649.80, 5,474.70 and 3,034.20 is: 4,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.80 : 5,474.70 = 3,034.20 : x
  2. Step 2: Convert to fraction form
    3,649.80/5,474.70 = 3,034.20/x
  3. Step 3: Cross multiply
    3,649.80x = 5,474.70 × 3,034.20
  4. Step 4: Simplify right side
    3,649.80x = 16,611,334.74
  5. Step 5: Solve for x
    x = 16,611,334.74/3,649.80
  6. Step 6: Final answer
    x = 4,551.30

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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.