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Finding the Fourth Proportional to 3,664.33, 5,056.80 and 2,173

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Solution

The fourth proportional to 3,664.33, 5,056.80 and 2,173 is: 2,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.33 : 5,056.80 = 2,173 : x
  2. Step 2: Convert to fraction form
    3,664.33/5,056.80 = 2,173/x
  3. Step 3: Cross multiply
    3,664.33x = 5,056.80 × 2,173
  4. Step 4: Simplify right side
    3,664.33x = 10,988,426.40
  5. Step 5: Solve for x
    x = 10,988,426.40/3,664.33
  6. Step 6: Final answer
    x = 2,998.75

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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.