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Finding the Fourth Proportional to 4,369, 6,552.84 and 1,446.92

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Solution

The fourth proportional to 4,369, 6,552.84 and 1,446.92 is: 2,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369 : 6,552.84 = 1,446.92 : x
  2. Step 2: Convert to fraction form
    4,369/6,552.84 = 1,446.92/x
  3. Step 3: Cross multiply
    4,369x = 6,552.84 × 1,446.92
  4. Step 4: Simplify right side
    4,369x = 9,481,435.25
  5. Step 5: Solve for x
    x = 9,481,435.25/4,369
  6. Step 6: Final answer
    x = 2,170.16

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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.