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Finding the Fourth Proportional to 3,928.32, 5,889.12 and 1,329.84

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Solution

The fourth proportional to 3,928.32, 5,889.12 and 1,329.84 is: 1,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.32 : 5,889.12 = 1,329.84 : x
  2. Step 2: Convert to fraction form
    3,928.32/5,889.12 = 1,329.84/x
  3. Step 3: Cross multiply
    3,928.32x = 5,889.12 × 1,329.84
  4. Step 4: Simplify right side
    3,928.32x = 7,831,587.34
  5. Step 5: Solve for x
    x = 7,831,587.34/3,928.32
  6. Step 6: Final answer
    x = 1,993.62

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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.