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Finding the Fourth Proportional to 3,464.84, 5,197.26 and 1,732.52

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Solution

The fourth proportional to 3,464.84, 5,197.26 and 1,732.52 is: 2,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.84 : 5,197.26 = 1,732.52 : x
  2. Step 2: Convert to fraction form
    3,464.84/5,197.26 = 1,732.52/x
  3. Step 3: Cross multiply
    3,464.84x = 5,197.26 × 1,732.52
  4. Step 4: Simplify right side
    3,464.84x = 9,004,356.90
  5. Step 5: Solve for x
    x = 9,004,356.90/3,464.84
  6. Step 6: Final answer
    x = 2,598.78

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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.