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Finding the Fourth Proportional to 5,934.06, 8,193.06 and 3,699.36

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Solution

The fourth proportional to 5,934.06, 8,193.06 and 3,699.36 is: 5,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.06 : 8,193.06 = 3,699.36 : x
  2. Step 2: Convert to fraction form
    5,934.06/8,193.06 = 3,699.36/x
  3. Step 3: Cross multiply
    5,934.06x = 8,193.06 × 3,699.36
  4. Step 4: Simplify right side
    5,934.06x = 30,309,078.44
  5. Step 5: Solve for x
    x = 30,309,078.44/5,934.06
  6. Step 6: Final answer
    x = 5,107.65

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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.