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Finding the Fourth Proportional to 3,474.66, 5,210.36 and 2,014.24

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Solution

The fourth proportional to 3,474.66, 5,210.36 and 2,014.24 is: 3,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.66 : 5,210.36 = 2,014.24 : x
  2. Step 2: Convert to fraction form
    3,474.66/5,210.36 = 2,014.24/x
  3. Step 3: Cross multiply
    3,474.66x = 5,210.36 × 2,014.24
  4. Step 4: Simplify right side
    3,474.66x = 10,494,915.53
  5. Step 5: Solve for x
    x = 10,494,915.53/3,474.66
  6. Step 6: Final answer
    x = 3,020.42

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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.