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Finding the Fourth Proportional to 4,992.24, 7,489.32 and 1,914

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Solution

The fourth proportional to 4,992.24, 7,489.32 and 1,914 is: 2,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.24 : 7,489.32 = 1,914 : x
  2. Step 2: Convert to fraction form
    4,992.24/7,489.32 = 1,914/x
  3. Step 3: Cross multiply
    4,992.24x = 7,489.32 × 1,914
  4. Step 4: Simplify right side
    4,992.24x = 14,334,558.48
  5. Step 5: Solve for x
    x = 14,334,558.48/4,992.24
  6. Step 6: Final answer
    x = 2,871.37

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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.