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Finding the Fourth Proportional to 4,596.81, 6,884.25 and 2,644.92

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Solution

The fourth proportional to 4,596.81, 6,884.25 and 2,644.92 is: 3,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.81 : 6,884.25 = 2,644.92 : x
  2. Step 2: Convert to fraction form
    4,596.81/6,884.25 = 2,644.92/x
  3. Step 3: Cross multiply
    4,596.81x = 6,884.25 × 2,644.92
  4. Step 4: Simplify right side
    4,596.81x = 18,208,290.51
  5. Step 5: Solve for x
    x = 18,208,290.51/4,596.81
  6. Step 6: Final answer
    x = 3,961.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.