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Finding the Fourth Proportional to 3,992.27, 5,509.10 and 2,313.55

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Solution

The fourth proportional to 3,992.27, 5,509.10 and 2,313.55 is: 3,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.27 : 5,509.10 = 2,313.55 : x
  2. Step 2: Convert to fraction form
    3,992.27/5,509.10 = 2,313.55/x
  3. Step 3: Cross multiply
    3,992.27x = 5,509.10 × 2,313.55
  4. Step 4: Simplify right side
    3,992.27x = 12,745,539.19
  5. Step 5: Solve for x
    x = 12,745,539.19/3,992.27
  6. Step 6: Final answer
    x = 3,192.55

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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.