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Finding the Fourth Proportional to 5,949.09, 8,923.50 and 2,053.13

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Solution

The fourth proportional to 5,949.09, 8,923.50 and 2,053.13 is: 3,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.09 : 8,923.50 = 2,053.13 : x
  2. Step 2: Convert to fraction form
    5,949.09/8,923.50 = 2,053.13/x
  3. Step 3: Cross multiply
    5,949.09x = 8,923.50 × 2,053.13
  4. Step 4: Simplify right side
    5,949.09x = 18,321,060.94
  5. Step 5: Solve for x
    x = 18,321,060.94/5,949.09
  6. Step 6: Final answer
    x = 3,079.64

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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.