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Finding the Fourth Proportional to 4,993.14, 6,840.59 and 4,806.21

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Solution

The fourth proportional to 4,993.14, 6,840.59 and 4,806.21 is: 6,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.14 : 6,840.59 = 4,806.21 : x
  2. Step 2: Convert to fraction form
    4,993.14/6,840.59 = 4,806.21/x
  3. Step 3: Cross multiply
    4,993.14x = 6,840.59 × 4,806.21
  4. Step 4: Simplify right side
    4,993.14x = 32,877,324.08
  5. Step 5: Solve for x
    x = 32,877,324.08/4,993.14
  6. Step 6: Final answer
    x = 6,584.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.