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Finding the Fourth Proportional to 3,463.47, 5,197.95 and 1,517.04

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Solution

The fourth proportional to 3,463.47, 5,197.95 and 1,517.04 is: 2,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.47 : 5,197.95 = 1,517.04 : x
  2. Step 2: Convert to fraction form
    3,463.47/5,197.95 = 1,517.04/x
  3. Step 3: Cross multiply
    3,463.47x = 5,197.95 × 1,517.04
  4. Step 4: Simplify right side
    3,463.47x = 7,885,498.07
  5. Step 5: Solve for x
    x = 7,885,498.07/3,463.47
  6. Step 6: Final answer
    x = 2,276.76

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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.