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Finding the Fourth Proportional to 4,760.58, 7,137.30 and 1,471.74

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Solution

The fourth proportional to 4,760.58, 7,137.30 and 1,471.74 is: 2,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.58 : 7,137.30 = 1,471.74 : x
  2. Step 2: Convert to fraction form
    4,760.58/7,137.30 = 1,471.74/x
  3. Step 3: Cross multiply
    4,760.58x = 7,137.30 × 1,471.74
  4. Step 4: Simplify right side
    4,760.58x = 10,504,249.90
  5. Step 5: Solve for x
    x = 10,504,249.90/4,760.58
  6. Step 6: Final answer
    x = 2,206.51

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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.