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Finding the Fourth Proportional to 3,664, 5,496 and 1,612

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Solution

The fourth proportional to 3,664, 5,496 and 1,612 is: 2,418

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,496 = 1,612 : x
  2. Step 2: Convert to fraction form
    3,664/5,496 = 1,612/x
  3. Step 3: Cross multiply
    3,664x = 5,496 × 1,612
  4. Step 4: Simplify right side
    3,664x = 8,859,552
  5. Step 5: Solve for x
    x = 8,859,552/3,664
  6. Step 6: Final answer
    x = 2,418

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