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Finding the Fourth Proportional to 4,811.17, 7,216.97 and 1,524.19

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Solution

The fourth proportional to 4,811.17, 7,216.97 and 1,524.19 is: 2,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.17 : 7,216.97 = 1,524.19 : x
  2. Step 2: Convert to fraction form
    4,811.17/7,216.97 = 1,524.19/x
  3. Step 3: Cross multiply
    4,811.17x = 7,216.97 × 1,524.19
  4. Step 4: Simplify right side
    4,811.17x = 11,000,043.93
  5. Step 5: Solve for x
    x = 11,000,043.93/4,811.17
  6. Step 6: Final answer
    x = 2,286.35

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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.