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Finding the Fourth Proportional to 5,294.13, 7,305.85 and 2,936.22

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Solution

The fourth proportional to 5,294.13, 7,305.85 and 2,936.22 is: 4,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.13 : 7,305.85 = 2,936.22 : x
  2. Step 2: Convert to fraction form
    5,294.13/7,305.85 = 2,936.22/x
  3. Step 3: Cross multiply
    5,294.13x = 7,305.85 × 2,936.22
  4. Step 4: Simplify right side
    5,294.13x = 21,451,559.16
  5. Step 5: Solve for x
    x = 21,451,559.16/5,294.13
  6. Step 6: Final answer
    x = 4,051.95

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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.