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Finding the Fourth Proportional to 4,965.92, 7,448.88 and 2,228

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Solution

The fourth proportional to 4,965.92, 7,448.88 and 2,228 is: 3,342

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.92 : 7,448.88 = 2,228 : x
  2. Step 2: Convert to fraction form
    4,965.92/7,448.88 = 2,228/x
  3. Step 3: Cross multiply
    4,965.92x = 7,448.88 × 2,228
  4. Step 4: Simplify right side
    4,965.92x = 16,596,104.64
  5. Step 5: Solve for x
    x = 16,596,104.64/4,965.92
  6. Step 6: Final answer
    x = 3,342

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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.