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Finding the Fourth Proportional to 4,965.09, 7,448.85 and 2,004.14

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Solution

The fourth proportional to 4,965.09, 7,448.85 and 2,004.14 is: 3,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.09 : 7,448.85 = 2,004.14 : x
  2. Step 2: Convert to fraction form
    4,965.09/7,448.85 = 2,004.14/x
  3. Step 3: Cross multiply
    4,965.09x = 7,448.85 × 2,004.14
  4. Step 4: Simplify right side
    4,965.09x = 14,928,500.99
  5. Step 5: Solve for x
    x = 14,928,500.99/4,965.09
  6. Step 6: Final answer
    x = 3,006.69

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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.