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Finding the Fourth Proportional to 3,503, 5,252.60 and 1,744.14

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Solution

The fourth proportional to 3,503, 5,252.60 and 1,744.14 is: 2,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503 : 5,252.60 = 1,744.14 : x
  2. Step 2: Convert to fraction form
    3,503/5,252.60 = 1,744.14/x
  3. Step 3: Cross multiply
    3,503x = 5,252.60 × 1,744.14
  4. Step 4: Simplify right side
    3,503x = 9,161,269.76
  5. Step 5: Solve for x
    x = 9,161,269.76/3,503
  6. Step 6: Final answer
    x = 2,615.26

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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.