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Finding the Fourth Proportional to 4,061.92, 6,091.62 and 1,464.88

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Solution

The fourth proportional to 4,061.92, 6,091.62 and 1,464.88 is: 2,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.92 : 6,091.62 = 1,464.88 : x
  2. Step 2: Convert to fraction form
    4,061.92/6,091.62 = 1,464.88/x
  3. Step 3: Cross multiply
    4,061.92x = 6,091.62 × 1,464.88
  4. Step 4: Simplify right side
    4,061.92x = 8,923,492.31
  5. Step 5: Solve for x
    x = 8,923,492.31/4,061.92
  6. Step 6: Final answer
    x = 2,196.87

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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.