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Finding the Fourth Proportional to 3,946.52, 5,913.41 and 1,866.24

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Solution

The fourth proportional to 3,946.52, 5,913.41 and 1,866.24 is: 2,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.52 : 5,913.41 = 1,866.24 : x
  2. Step 2: Convert to fraction form
    3,946.52/5,913.41 = 1,866.24/x
  3. Step 3: Cross multiply
    3,946.52x = 5,913.41 × 1,866.24
  4. Step 4: Simplify right side
    3,946.52x = 11,035,832.95
  5. Step 5: Solve for x
    x = 11,035,832.95/3,946.52
  6. Step 6: Final answer
    x = 2,796.34

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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.