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Finding the Fourth Proportional to 5,935.42, 8,201.82 and 5,743.18

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Solution

The fourth proportional to 5,935.42, 8,201.82 and 5,743.18 is: 7,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.42 : 8,201.82 = 5,743.18 : x
  2. Step 2: Convert to fraction form
    5,935.42/8,201.82 = 5,743.18/x
  3. Step 3: Cross multiply
    5,935.42x = 8,201.82 × 5,743.18
  4. Step 4: Simplify right side
    5,935.42x = 47,104,528.59
  5. Step 5: Solve for x
    x = 47,104,528.59/5,935.42
  6. Step 6: Final answer
    x = 7,936.17

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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.