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Finding the Fourth Proportional to 3,463.10, 5,193.69 and 997.25

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Solution

The fourth proportional to 3,463.10, 5,193.69 and 997.25 is: 1,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.10 : 5,193.69 = 997.25 : x
  2. Step 2: Convert to fraction form
    3,463.10/5,193.69 = 997.25/x
  3. Step 3: Cross multiply
    3,463.10x = 5,193.69 × 997.25
  4. Step 4: Simplify right side
    3,463.10x = 5,179,407.35
  5. Step 5: Solve for x
    x = 5,179,407.35/3,463.10
  6. Step 6: Final answer
    x = 1,495.60

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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.