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Finding the Fourth Proportional to 3,464.94, 5,200.86 and 1,617.36

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Solution

The fourth proportional to 3,464.94, 5,200.86 and 1,617.36 is: 2,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.94 : 5,200.86 = 1,617.36 : x
  2. Step 2: Convert to fraction form
    3,464.94/5,200.86 = 1,617.36/x
  3. Step 3: Cross multiply
    3,464.94x = 5,200.86 × 1,617.36
  4. Step 4: Simplify right side
    3,464.94x = 8,411,662.93
  5. Step 5: Solve for x
    x = 8,411,662.93/3,464.94
  6. Step 6: Final answer
    x = 2,427.65

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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.