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Finding the Fourth Proportional to 3,323.95, 4,946.69 and 3,213.22

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Solution

The fourth proportional to 3,323.95, 4,946.69 and 3,213.22 is: 4,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.95 : 4,946.69 = 3,213.22 : x
  2. Step 2: Convert to fraction form
    3,323.95/4,946.69 = 3,213.22/x
  3. Step 3: Cross multiply
    3,323.95x = 4,946.69 × 3,213.22
  4. Step 4: Simplify right side
    3,323.95x = 15,894,803.24
  5. Step 5: Solve for x
    x = 15,894,803.24/3,323.95
  6. Step 6: Final answer
    x = 4,781.90

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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.