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Finding the Fourth Proportional to 3,803.38, 5,704.71 and 1,953.46

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Solution

The fourth proportional to 3,803.38, 5,704.71 and 1,953.46 is: 2,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.38 : 5,704.71 = 1,953.46 : x
  2. Step 2: Convert to fraction form
    3,803.38/5,704.71 = 1,953.46/x
  3. Step 3: Cross multiply
    3,803.38x = 5,704.71 × 1,953.46
  4. Step 4: Simplify right side
    3,803.38x = 11,143,922.80
  5. Step 5: Solve for x
    x = 11,143,922.80/3,803.38
  6. Step 6: Final answer
    x = 2,930.01

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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.