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Finding the Fourth Proportional to 4,199.76, 5,795.82 and 3,404.88

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Solution

The fourth proportional to 4,199.76, 5,795.82 and 3,404.88 is: 4,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.76 : 5,795.82 = 3,404.88 : x
  2. Step 2: Convert to fraction form
    4,199.76/5,795.82 = 3,404.88/x
  3. Step 3: Cross multiply
    4,199.76x = 5,795.82 × 3,404.88
  4. Step 4: Simplify right side
    4,199.76x = 19,734,071.60
  5. Step 5: Solve for x
    x = 19,734,071.60/4,199.76
  6. Step 6: Final answer
    x = 4,698.86

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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.