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Finding the Fourth Proportional to 3,904.29, 5,856.17 and 1,683.02

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Solution

The fourth proportional to 3,904.29, 5,856.17 and 1,683.02 is: 2,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.29 : 5,856.17 = 1,683.02 : x
  2. Step 2: Convert to fraction form
    3,904.29/5,856.17 = 1,683.02/x
  3. Step 3: Cross multiply
    3,904.29x = 5,856.17 × 1,683.02
  4. Step 4: Simplify right side
    3,904.29x = 9,856,057.46
  5. Step 5: Solve for x
    x = 9,856,057.46/3,904.29
  6. Step 6: Final answer
    x = 2,524.42

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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.