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Finding the Fourth Proportional to 3,464.56, 5,195.70 and 1,732

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Solution

The fourth proportional to 3,464.56, 5,195.70 and 1,732 is: 2,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.56 : 5,195.70 = 1,732 : x
  2. Step 2: Convert to fraction form
    3,464.56/5,195.70 = 1,732/x
  3. Step 3: Cross multiply
    3,464.56x = 5,195.70 × 1,732
  4. Step 4: Simplify right side
    3,464.56x = 8,998,952.40
  5. Step 5: Solve for x
    x = 8,998,952.40/3,464.56
  6. Step 6: Final answer
    x = 2,597.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.