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Finding the Fourth Proportional to 4,217.92, 6,282.40 and 4,028.40

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Solution

The fourth proportional to 4,217.92, 6,282.40 and 4,028.40 is: 6,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.92 : 6,282.40 = 4,028.40 : x
  2. Step 2: Convert to fraction form
    4,217.92/6,282.40 = 4,028.40/x
  3. Step 3: Cross multiply
    4,217.92x = 6,282.40 × 4,028.40
  4. Step 4: Simplify right side
    4,217.92x = 25,308,020.16
  5. Step 5: Solve for x
    x = 25,308,020.16/4,217.92
  6. Step 6: Final answer
    x = 6,000.12

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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.