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Finding the Fourth Proportional to 3,939.68, 5,904.32 and 1,856.84

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Solution

The fourth proportional to 3,939.68, 5,904.32 and 1,856.84 is: 2,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.68 : 5,904.32 = 1,856.84 : x
  2. Step 2: Convert to fraction form
    3,939.68/5,904.32 = 1,856.84/x
  3. Step 3: Cross multiply
    3,939.68x = 5,904.32 × 1,856.84
  4. Step 4: Simplify right side
    3,939.68x = 10,963,377.55
  5. Step 5: Solve for x
    x = 10,963,377.55/3,939.68
  6. Step 6: Final answer
    x = 2,782.81

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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.