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Finding the Fourth Proportional to 3,924.02, 5,881.39 and 1,728.16

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Solution

The fourth proportional to 3,924.02, 5,881.39 and 1,728.16 is: 2,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.02 : 5,881.39 = 1,728.16 : x
  2. Step 2: Convert to fraction form
    3,924.02/5,881.39 = 1,728.16/x
  3. Step 3: Cross multiply
    3,924.02x = 5,881.39 × 1,728.16
  4. Step 4: Simplify right side
    3,924.02x = 10,163,982.94
  5. Step 5: Solve for x
    x = 10,163,982.94/3,924.02
  6. Step 6: Final answer
    x = 2,590.20

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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.