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Finding the Fourth Proportional to 3,865.22, 5,797.83 and 943.52

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Solution

The fourth proportional to 3,865.22, 5,797.83 and 943.52 is: 1,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.22 : 5,797.83 = 943.52 : x
  2. Step 2: Convert to fraction form
    3,865.22/5,797.83 = 943.52/x
  3. Step 3: Cross multiply
    3,865.22x = 5,797.83 × 943.52
  4. Step 4: Simplify right side
    3,865.22x = 5,470,386.72
  5. Step 5: Solve for x
    x = 5,470,386.72/3,865.22
  6. Step 6: Final answer
    x = 1,415.29

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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.