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Finding the Fourth Proportional to 4,309.67, 6,464.55 and 3,449.45

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Solution

The fourth proportional to 4,309.67, 6,464.55 and 3,449.45 is: 5,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.67 : 6,464.55 = 3,449.45 : x
  2. Step 2: Convert to fraction form
    4,309.67/6,464.55 = 3,449.45/x
  3. Step 3: Cross multiply
    4,309.67x = 6,464.55 × 3,449.45
  4. Step 4: Simplify right side
    4,309.67x = 22,299,142.00
  5. Step 5: Solve for x
    x = 22,299,142.00/4,309.67
  6. Step 6: Final answer
    x = 5,174.21

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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.