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Finding the Fourth Proportional to 4,561.25, 6,842.04 and 2,061.96

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Solution

The fourth proportional to 4,561.25, 6,842.04 and 2,061.96 is: 3,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.25 : 6,842.04 = 2,061.96 : x
  2. Step 2: Convert to fraction form
    4,561.25/6,842.04 = 2,061.96/x
  3. Step 3: Cross multiply
    4,561.25x = 6,842.04 × 2,061.96
  4. Step 4: Simplify right side
    4,561.25x = 14,107,979.41
  5. Step 5: Solve for x
    x = 14,107,979.41/4,561.25
  6. Step 6: Final answer
    x = 3,093.01

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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.