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Finding the Fourth Proportional to 5,935.46, 8,191.90 and 3,544.67

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Solution

The fourth proportional to 5,935.46, 8,191.90 and 3,544.67 is: 4,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.46 : 8,191.90 = 3,544.67 : x
  2. Step 2: Convert to fraction form
    5,935.46/8,191.90 = 3,544.67/x
  3. Step 3: Cross multiply
    5,935.46x = 8,191.90 × 3,544.67
  4. Step 4: Simplify right side
    5,935.46x = 29,037,565.64
  5. Step 5: Solve for x
    x = 29,037,565.64/5,935.46
  6. Step 6: Final answer
    x = 4,892.22

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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.