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Finding the Fourth Proportional to 5,649.84, 8,464.73 and 4,819.69

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Solution

The fourth proportional to 5,649.84, 8,464.73 and 4,819.69 is: 7,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.84 : 8,464.73 = 4,819.69 : x
  2. Step 2: Convert to fraction form
    5,649.84/8,464.73 = 4,819.69/x
  3. Step 3: Cross multiply
    5,649.84x = 8,464.73 × 4,819.69
  4. Step 4: Simplify right side
    5,649.84x = 40,797,374.53
  5. Step 5: Solve for x
    x = 40,797,374.53/5,649.84
  6. Step 6: Final answer
    x = 7,220.98

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1.5x scale

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.