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Finding the Fourth Proportional to 5,049.74, 7,575.80 and 1,586.99

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Solution

The fourth proportional to 5,049.74, 7,575.80 and 1,586.99 is: 2,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.74 : 7,575.80 = 1,586.99 : x
  2. Step 2: Convert to fraction form
    5,049.74/7,575.80 = 1,586.99/x
  3. Step 3: Cross multiply
    5,049.74x = 7,575.80 × 1,586.99
  4. Step 4: Simplify right side
    5,049.74x = 12,022,718.84
  5. Step 5: Solve for x
    x = 12,022,718.84/5,049.74
  6. Step 6: Final answer
    x = 2,380.86

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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.