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Finding the Fourth Proportional to 4,764.80, 6,586.44 and 3,974.24

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Solution

The fourth proportional to 4,764.80, 6,586.44 and 3,974.24 is: 5,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.80 : 6,586.44 = 3,974.24 : x
  2. Step 2: Convert to fraction form
    4,764.80/6,586.44 = 3,974.24/x
  3. Step 3: Cross multiply
    4,764.80x = 6,586.44 × 3,974.24
  4. Step 4: Simplify right side
    4,764.80x = 26,176,093.31
  5. Step 5: Solve for x
    x = 26,176,093.31/4,764.80
  6. Step 6: Final answer
    x = 5,493.64

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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.