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Finding the Fourth Proportional to 5,444, 8,166.32 and 1,796

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Solution

The fourth proportional to 5,444, 8,166.32 and 1,796 is: 2,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444 : 8,166.32 = 1,796 : x
  2. Step 2: Convert to fraction form
    5,444/8,166.32 = 1,796/x
  3. Step 3: Cross multiply
    5,444x = 8,166.32 × 1,796
  4. Step 4: Simplify right side
    5,444x = 14,666,710.72
  5. Step 5: Solve for x
    x = 14,666,710.72/5,444
  6. Step 6: Final answer
    x = 2,694.11

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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.