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Finding the Fourth Proportional to 4,552, 6,828 and 1,816

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Solution

The fourth proportional to 4,552, 6,828 and 1,816 is: 2,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552 : 6,828 = 1,816 : x
  2. Step 2: Convert to fraction form
    4,552/6,828 = 1,816/x
  3. Step 3: Cross multiply
    4,552x = 6,828 × 1,816
  4. Step 4: Simplify right side
    4,552x = 12,399,648
  5. Step 5: Solve for x
    x = 12,399,648/4,552
  6. Step 6: Final answer
    x = 2,724

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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.