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Finding the Fourth Proportional to 4,980.38, 7,464.17 and 2,509.67

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Solution

The fourth proportional to 4,980.38, 7,464.17 and 2,509.67 is: 3,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.38 : 7,464.17 = 2,509.67 : x
  2. Step 2: Convert to fraction form
    4,980.38/7,464.17 = 2,509.67/x
  3. Step 3: Cross multiply
    4,980.38x = 7,464.17 × 2,509.67
  4. Step 4: Simplify right side
    4,980.38x = 18,732,553.65
  5. Step 5: Solve for x
    x = 18,732,553.65/4,980.38
  6. Step 6: Final answer
    x = 3,761.27

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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.