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Finding the Fourth Proportional to 3,496, 5,244 and 1,064

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Solution

The fourth proportional to 3,496, 5,244 and 1,064 is: 1,596

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496 : 5,244 = 1,064 : x
  2. Step 2: Convert to fraction form
    3,496/5,244 = 1,064/x
  3. Step 3: Cross multiply
    3,496x = 5,244 × 1,064
  4. Step 4: Simplify right side
    3,496x = 5,579,616
  5. Step 5: Solve for x
    x = 5,579,616/3,496
  6. Step 6: Final answer
    x = 1,596

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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.