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Finding the Fourth Proportional to 5,684.19, 8,525.67 and 1,524.61

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Solution

The fourth proportional to 5,684.19, 8,525.67 and 1,524.61 is: 2,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.19 : 8,525.67 = 1,524.61 : x
  2. Step 2: Convert to fraction form
    5,684.19/8,525.67 = 1,524.61/x
  3. Step 3: Cross multiply
    5,684.19x = 8,525.67 × 1,524.61
  4. Step 4: Simplify right side
    5,684.19x = 12,998,321.74
  5. Step 5: Solve for x
    x = 12,998,321.74/5,684.19
  6. Step 6: Final answer
    x = 2,286.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.