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Finding the Fourth Proportional to 3,904.27, 5,853.97 and 1,823.38

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Solution

The fourth proportional to 3,904.27, 5,853.97 and 1,823.38 is: 2,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.27 : 5,853.97 = 1,823.38 : x
  2. Step 2: Convert to fraction form
    3,904.27/5,853.97 = 1,823.38/x
  3. Step 3: Cross multiply
    3,904.27x = 5,853.97 × 1,823.38
  4. Step 4: Simplify right side
    3,904.27x = 10,673,999.46
  5. Step 5: Solve for x
    x = 10,673,999.46/3,904.27
  6. Step 6: Final answer
    x = 2,733.93

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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.