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Finding the Fourth Proportional to 3,464.93, 5,197.62 and 1,275.19

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Solution

The fourth proportional to 3,464.93, 5,197.62 and 1,275.19 is: 1,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.93 : 5,197.62 = 1,275.19 : x
  2. Step 2: Convert to fraction form
    3,464.93/5,197.62 = 1,275.19/x
  3. Step 3: Cross multiply
    3,464.93x = 5,197.62 × 1,275.19
  4. Step 4: Simplify right side
    3,464.93x = 6,627,966.90
  5. Step 5: Solve for x
    x = 6,627,966.90/3,464.93
  6. Step 6: Final answer
    x = 1,912.87

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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.