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Finding the Fourth Proportional to 4,977.69, 7,471.16 and 2,514.24

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Solution

The fourth proportional to 4,977.69, 7,471.16 and 2,514.24 is: 3,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.69 : 7,471.16 = 2,514.24 : x
  2. Step 2: Convert to fraction form
    4,977.69/7,471.16 = 2,514.24/x
  3. Step 3: Cross multiply
    4,977.69x = 7,471.16 × 2,514.24
  4. Step 4: Simplify right side
    4,977.69x = 18,784,286.09
  5. Step 5: Solve for x
    x = 18,784,286.09/4,977.69
  6. Step 6: Final answer
    x = 3,773.69

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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.