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Finding the Fourth Proportional to 3,923.81, 5,887.24 and 1,730.99

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Solution

The fourth proportional to 3,923.81, 5,887.24 and 1,730.99 is: 2,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.81 : 5,887.24 = 1,730.99 : x
  2. Step 2: Convert to fraction form
    3,923.81/5,887.24 = 1,730.99/x
  3. Step 3: Cross multiply
    3,923.81x = 5,887.24 × 1,730.99
  4. Step 4: Simplify right side
    3,923.81x = 10,190,753.57
  5. Step 5: Solve for x
    x = 10,190,753.57/3,923.81
  6. Step 6: Final answer
    x = 2,597.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.