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Finding the Fourth Proportional to 3,464.51, 5,198.50 and 1,615.77

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Solution

The fourth proportional to 3,464.51, 5,198.50 and 1,615.77 is: 2,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.51 : 5,198.50 = 1,615.77 : x
  2. Step 2: Convert to fraction form
    3,464.51/5,198.50 = 1,615.77/x
  3. Step 3: Cross multiply
    3,464.51x = 5,198.50 × 1,615.77
  4. Step 4: Simplify right side
    3,464.51x = 8,399,584.38
  5. Step 5: Solve for x
    x = 8,399,584.38/3,464.51
  6. Step 6: Final answer
    x = 2,424.47

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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.