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Finding the Fourth Proportional to 5,149.16, 7,724.66 and 1,866.84

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Solution

The fourth proportional to 5,149.16, 7,724.66 and 1,866.84 is: 2,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.16 : 7,724.66 = 1,866.84 : x
  2. Step 2: Convert to fraction form
    5,149.16/7,724.66 = 1,866.84/x
  3. Step 3: Cross multiply
    5,149.16x = 7,724.66 × 1,866.84
  4. Step 4: Simplify right side
    5,149.16x = 14,420,694.94
  5. Step 5: Solve for x
    x = 14,420,694.94/5,149.16
  6. Step 6: Final answer
    x = 2,800.59

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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.