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Finding the Fourth Proportional to 4,464.72, 6,684.63 and 3,365.76

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Solution

The fourth proportional to 4,464.72, 6,684.63 and 3,365.76 is: 5,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.72 : 6,684.63 = 3,365.76 : x
  2. Step 2: Convert to fraction form
    4,464.72/6,684.63 = 3,365.76/x
  3. Step 3: Cross multiply
    4,464.72x = 6,684.63 × 3,365.76
  4. Step 4: Simplify right side
    4,464.72x = 22,498,860.27
  5. Step 5: Solve for x
    x = 22,498,860.27/4,464.72
  6. Step 6: Final answer
    x = 5,039.25

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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.