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Finding the Fourth Proportional to 3,923.69, 5,887.05 and 1,730.87

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Solution

The fourth proportional to 3,923.69, 5,887.05 and 1,730.87 is: 2,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.69 : 5,887.05 = 1,730.87 : x
  2. Step 2: Convert to fraction form
    3,923.69/5,887.05 = 1,730.87/x
  3. Step 3: Cross multiply
    3,923.69x = 5,887.05 × 1,730.87
  4. Step 4: Simplify right side
    3,923.69x = 10,189,718.23
  5. Step 5: Solve for x
    x = 10,189,718.23/3,923.69
  6. Step 6: Final answer
    x = 2,596.97

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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.