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Finding the Fourth Proportional to 4,113.72, 6,171.19 and 1,191.65

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Solution

The fourth proportional to 4,113.72, 6,171.19 and 1,191.65 is: 1,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.72 : 6,171.19 = 1,191.65 : x
  2. Step 2: Convert to fraction form
    4,113.72/6,171.19 = 1,191.65/x
  3. Step 3: Cross multiply
    4,113.72x = 6,171.19 × 1,191.65
  4. Step 4: Simplify right side
    4,113.72x = 7,353,864.73
  5. Step 5: Solve for x
    x = 7,353,864.73/4,113.72
  6. Step 6: Final answer
    x = 1,787.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.