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Finding the Fourth Proportional to 3,468.24, 5,197.76 and 1,518

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Solution

The fourth proportional to 3,468.24, 5,197.76 and 1,518 is: 2,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.24 : 5,197.76 = 1,518 : x
  2. Step 2: Convert to fraction form
    3,468.24/5,197.76 = 1,518/x
  3. Step 3: Cross multiply
    3,468.24x = 5,197.76 × 1,518
  4. Step 4: Simplify right side
    3,468.24x = 7,890,199.68
  5. Step 5: Solve for x
    x = 7,890,199.68/3,468.24
  6. Step 6: Final answer
    x = 2,274.99

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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.