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Finding the Fourth Proportional to 5,943.66, 8,202.72 and 3,291.32

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Solution

The fourth proportional to 5,943.66, 8,202.72 and 3,291.32 is: 4,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.66 : 8,202.72 = 3,291.32 : x
  2. Step 2: Convert to fraction form
    5,943.66/8,202.72 = 3,291.32/x
  3. Step 3: Cross multiply
    5,943.66x = 8,202.72 × 3,291.32
  4. Step 4: Simplify right side
    5,943.66x = 26,997,735.38
  5. Step 5: Solve for x
    x = 26,997,735.38/5,943.66
  6. Step 6: Final answer
    x = 4,542.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.