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Finding the Fourth Proportional to 3,456, 5,184 and 1,024

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Solution

The fourth proportional to 3,456, 5,184 and 1,024 is: 1,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 5,184 = 1,024 : x
  2. Step 2: Convert to fraction form
    3,456/5,184 = 1,024/x
  3. Step 3: Cross multiply
    3,456x = 5,184 × 1,024
  4. Step 4: Simplify right side
    3,456x = 5,308,416
  5. Step 5: Solve for x
    x = 5,308,416/3,456
  6. Step 6: Final answer
    x = 1,536

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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.