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Finding the Fourth Proportional to 4,774.44, 6,579.83 and 4,297.35

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Solution

The fourth proportional to 4,774.44, 6,579.83 and 4,297.35 is: 5,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.44 : 6,579.83 = 4,297.35 : x
  2. Step 2: Convert to fraction form
    4,774.44/6,579.83 = 4,297.35/x
  3. Step 3: Cross multiply
    4,774.44x = 6,579.83 × 4,297.35
  4. Step 4: Simplify right side
    4,774.44x = 28,275,867.87
  5. Step 5: Solve for x
    x = 28,275,867.87/4,774.44
  6. Step 6: Final answer
    x = 5,922.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.