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Finding the Fourth Proportional to 5,233.96, 7,219.14 and 3,464.68

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Solution

The fourth proportional to 5,233.96, 7,219.14 and 3,464.68 is: 4,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.96 : 7,219.14 = 3,464.68 : x
  2. Step 2: Convert to fraction form
    5,233.96/7,219.14 = 3,464.68/x
  3. Step 3: Cross multiply
    5,233.96x = 7,219.14 × 3,464.68
  4. Step 4: Simplify right side
    5,233.96x = 25,012,009.98
  5. Step 5: Solve for x
    x = 25,012,009.98/5,233.96
  6. Step 6: Final answer
    x = 4,778.79

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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.