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Finding the Fourth Proportional to 4,977.71, 7,471.18 and 2,514.26

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Solution

The fourth proportional to 4,977.71, 7,471.18 and 2,514.26 is: 3,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.71 : 7,471.18 = 2,514.26 : x
  2. Step 2: Convert to fraction form
    4,977.71/7,471.18 = 2,514.26/x
  3. Step 3: Cross multiply
    4,977.71x = 7,471.18 × 2,514.26
  4. Step 4: Simplify right side
    4,977.71x = 18,784,454.68
  5. Step 5: Solve for x
    x = 18,784,454.68/4,977.71
  6. Step 6: Final answer
    x = 3,773.72

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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.