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Finding the Fourth Proportional to 3,866.56, 5,801.52 and 3,317.44

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Solution

The fourth proportional to 3,866.56, 5,801.52 and 3,317.44 is: 4,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.56 : 5,801.52 = 3,317.44 : x
  2. Step 2: Convert to fraction form
    3,866.56/5,801.52 = 3,317.44/x
  3. Step 3: Cross multiply
    3,866.56x = 5,801.52 × 3,317.44
  4. Step 4: Simplify right side
    3,866.56x = 19,246,194.51
  5. Step 5: Solve for x
    x = 19,246,194.51/3,866.56
  6. Step 6: Final answer
    x = 4,977.60

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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.