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Finding the Fourth Proportional to 3,496.56, 5,243.54 and 1,415.44

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Solution

The fourth proportional to 3,496.56, 5,243.54 and 1,415.44 is: 2,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.56 : 5,243.54 = 1,415.44 : x
  2. Step 2: Convert to fraction form
    3,496.56/5,243.54 = 1,415.44/x
  3. Step 3: Cross multiply
    3,496.56x = 5,243.54 × 1,415.44
  4. Step 4: Simplify right side
    3,496.56x = 7,421,916.26
  5. Step 5: Solve for x
    x = 7,421,916.26/3,496.56
  6. Step 6: Final answer
    x = 2,122.63

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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.