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Finding the Fourth Proportional to 2,727.72, 4,071.50 and 2,535.12

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Solution

The fourth proportional to 2,727.72, 4,071.50 and 2,535.12 is: 3,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.72 : 4,071.50 = 2,535.12 : x
  2. Step 2: Convert to fraction form
    2,727.72/4,071.50 = 2,535.12/x
  3. Step 3: Cross multiply
    2,727.72x = 4,071.50 × 2,535.12
  4. Step 4: Simplify right side
    2,727.72x = 10,321,741.08
  5. Step 5: Solve for x
    x = 10,321,741.08/2,727.72
  6. Step 6: Final answer
    x = 3,784.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.