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Finding the Fourth Proportional to 3,464.94, 5,192.81 and 1,515.02

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Solution

The fourth proportional to 3,464.94, 5,192.81 and 1,515.02 is: 2,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.94 : 5,192.81 = 1,515.02 : x
  2. Step 2: Convert to fraction form
    3,464.94/5,192.81 = 1,515.02/x
  3. Step 3: Cross multiply
    3,464.94x = 5,192.81 × 1,515.02
  4. Step 4: Simplify right side
    3,464.94x = 7,867,211.01
  5. Step 5: Solve for x
    x = 7,867,211.01/3,464.94
  6. Step 6: Final answer
    x = 2,270.52

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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.