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Finding the Fourth Proportional to 3,164.63, 4,747.55 and 1,433.25

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Solution

The fourth proportional to 3,164.63, 4,747.55 and 1,433.25 is: 2,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.63 : 4,747.55 = 1,433.25 : x
  2. Step 2: Convert to fraction form
    3,164.63/4,747.55 = 1,433.25/x
  3. Step 3: Cross multiply
    3,164.63x = 4,747.55 × 1,433.25
  4. Step 4: Simplify right side
    3,164.63x = 6,804,418.87
  5. Step 5: Solve for x
    x = 6,804,418.87/3,164.63
  6. Step 6: Final answer
    x = 2,150.15

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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.