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Finding the Fourth Proportional to 4,758.50, 7,137.68 and 1,471.21

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Solution

The fourth proportional to 4,758.50, 7,137.68 and 1,471.21 is: 2,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.50 : 7,137.68 = 1,471.21 : x
  2. Step 2: Convert to fraction form
    4,758.50/7,137.68 = 1,471.21/x
  3. Step 3: Cross multiply
    4,758.50x = 7,137.68 × 1,471.21
  4. Step 4: Simplify right side
    4,758.50x = 10,501,000.99
  5. Step 5: Solve for x
    x = 10,501,000.99/4,758.50
  6. Step 6: Final answer
    x = 2,206.79

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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.