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Finding the Fourth Proportional to 3,920.13, 5,880.51 and 1,728.27

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Solution

The fourth proportional to 3,920.13, 5,880.51 and 1,728.27 is: 2,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.13 : 5,880.51 = 1,728.27 : x
  2. Step 2: Convert to fraction form
    3,920.13/5,880.51 = 1,728.27/x
  3. Step 3: Cross multiply
    3,920.13x = 5,880.51 × 1,728.27
  4. Step 4: Simplify right side
    3,920.13x = 10,163,109.02
  5. Step 5: Solve for x
    x = 10,163,109.02/3,920.13
  6. Step 6: Final answer
    x = 2,592.54

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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.