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Finding the Fourth Proportional to 3,478.98, 5,206.05 and 3,022.14

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Solution

The fourth proportional to 3,478.98, 5,206.05 and 3,022.14 is: 4,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.98 : 5,206.05 = 3,022.14 : x
  2. Step 2: Convert to fraction form
    3,478.98/5,206.05 = 3,022.14/x
  3. Step 3: Cross multiply
    3,478.98x = 5,206.05 × 3,022.14
  4. Step 4: Simplify right side
    3,478.98x = 15,733,411.95
  5. Step 5: Solve for x
    x = 15,733,411.95/3,478.98
  6. Step 6: Final answer
    x = 4,522.42

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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.