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Finding the Fourth Proportional to 5,846.58, 8,769.96 and 2,149.68

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Solution

The fourth proportional to 5,846.58, 8,769.96 and 2,149.68 is: 3,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.58 : 8,769.96 = 2,149.68 : x
  2. Step 2: Convert to fraction form
    5,846.58/8,769.96 = 2,149.68/x
  3. Step 3: Cross multiply
    5,846.58x = 8,769.96 × 2,149.68
  4. Step 4: Simplify right side
    5,846.58x = 18,852,607.61
  5. Step 5: Solve for x
    x = 18,852,607.61/5,846.58
  6. Step 6: Final answer
    x = 3,224.55

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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.