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Finding the Fourth Proportional to 6,463.84, 8,919.84 and 3,669.52

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Solution

The fourth proportional to 6,463.84, 8,919.84 and 3,669.52 is: 5,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.84 : 8,919.84 = 3,669.52 : x
  2. Step 2: Convert to fraction form
    6,463.84/8,919.84 = 3,669.52/x
  3. Step 3: Cross multiply
    6,463.84x = 8,919.84 × 3,669.52
  4. Step 4: Simplify right side
    6,463.84x = 32,731,531.28
  5. Step 5: Solve for x
    x = 32,731,531.28/6,463.84
  6. Step 6: Final answer
    x = 5,063.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.