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Finding the Fourth Proportional to 5,935.62, 8,191.30 and 3,843.40

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Solution

The fourth proportional to 5,935.62, 8,191.30 and 3,843.40 is: 5,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.62 : 8,191.30 = 3,843.40 : x
  2. Step 2: Convert to fraction form
    5,935.62/8,191.30 = 3,843.40/x
  3. Step 3: Cross multiply
    5,935.62x = 8,191.30 × 3,843.40
  4. Step 4: Simplify right side
    5,935.62x = 31,482,442.42
  5. Step 5: Solve for x
    x = 31,482,442.42/5,935.62
  6. Step 6: Final answer
    x = 5,303.99

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