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Finding the Fourth Proportional to 5,579.42, 7,698.04 and 4,396.82

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Solution

The fourth proportional to 5,579.42, 7,698.04 and 4,396.82 is: 6,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.42 : 7,698.04 = 4,396.82 : x
  2. Step 2: Convert to fraction form
    5,579.42/7,698.04 = 4,396.82/x
  3. Step 3: Cross multiply
    5,579.42x = 7,698.04 × 4,396.82
  4. Step 4: Simplify right side
    5,579.42x = 33,846,846.75
  5. Step 5: Solve for x
    x = 33,846,846.75/5,579.42
  6. Step 6: Final answer
    x = 6,066.38

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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.