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Finding the Fourth Proportional to 4,811.59, 7,217.59 and 1,524.61

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Solution

The fourth proportional to 4,811.59, 7,217.59 and 1,524.61 is: 2,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.59 : 7,217.59 = 1,524.61 : x
  2. Step 2: Convert to fraction form
    4,811.59/7,217.59 = 1,524.61/x
  3. Step 3: Cross multiply
    4,811.59x = 7,217.59 × 1,524.61
  4. Step 4: Simplify right side
    4,811.59x = 11,004,017.96
  5. Step 5: Solve for x
    x = 11,004,017.96/4,811.59
  6. Step 6: Final answer
    x = 2,286.98

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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.