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Finding the Fourth Proportional to 4,819.84, 6,648.30 and 3,698.92

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Solution

The fourth proportional to 4,819.84, 6,648.30 and 3,698.92 is: 5,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.84 : 6,648.30 = 3,698.92 : x
  2. Step 2: Convert to fraction form
    4,819.84/6,648.30 = 3,698.92/x
  3. Step 3: Cross multiply
    4,819.84x = 6,648.30 × 3,698.92
  4. Step 4: Simplify right side
    4,819.84x = 24,591,529.84
  5. Step 5: Solve for x
    x = 24,591,529.84/4,819.84
  6. Step 6: Final answer
    x = 5,102.15

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1.5x scale

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.