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Finding the Fourth Proportional to 4,908.57, 7,352.82 and 4,084.20

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Solution

The fourth proportional to 4,908.57, 7,352.82 and 4,084.20 is: 6,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.57 : 7,352.82 = 4,084.20 : x
  2. Step 2: Convert to fraction form
    4,908.57/7,352.82 = 4,084.20/x
  3. Step 3: Cross multiply
    4,908.57x = 7,352.82 × 4,084.20
  4. Step 4: Simplify right side
    4,908.57x = 30,030,387.44
  5. Step 5: Solve for x
    x = 30,030,387.44/4,908.57
  6. Step 6: Final answer
    x = 6,117.95

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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.