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Finding the Fourth Proportional to 3,324.16, 4,946.99 and 3,213.42

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Solution

The fourth proportional to 3,324.16, 4,946.99 and 3,213.42 is: 4,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.16 : 4,946.99 = 3,213.42 : x
  2. Step 2: Convert to fraction form
    3,324.16/4,946.99 = 3,213.42/x
  3. Step 3: Cross multiply
    3,324.16x = 4,946.99 × 3,213.42
  4. Step 4: Simplify right side
    3,324.16x = 15,896,756.61
  5. Step 5: Solve for x
    x = 15,896,756.61/3,324.16
  6. Step 6: Final answer
    x = 4,782.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.