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Finding the Fourth Proportional to 3,803.81, 5,711.45 and 3,103.16

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Solution

The fourth proportional to 3,803.81, 5,711.45 and 3,103.16 is: 4,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.81 : 5,711.45 = 3,103.16 : x
  2. Step 2: Convert to fraction form
    3,803.81/5,711.45 = 3,103.16/x
  3. Step 3: Cross multiply
    3,803.81x = 5,711.45 × 3,103.16
  4. Step 4: Simplify right side
    3,803.81x = 17,723,499.11
  5. Step 5: Solve for x
    x = 17,723,499.11/3,803.81
  6. Step 6: Final answer
    x = 4,659.41

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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.