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Finding the Fourth Proportional to 3,866.02, 5,801.26 and 1,644.70

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Solution

The fourth proportional to 3,866.02, 5,801.26 and 1,644.70 is: 2,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.02 : 5,801.26 = 1,644.70 : x
  2. Step 2: Convert to fraction form
    3,866.02/5,801.26 = 1,644.70/x
  3. Step 3: Cross multiply
    3,866.02x = 5,801.26 × 1,644.70
  4. Step 4: Simplify right side
    3,866.02x = 9,541,332.32
  5. Step 5: Solve for x
    x = 9,541,332.32/3,866.02
  6. Step 6: Final answer
    x = 2,468.00

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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.