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Finding the Fourth Proportional to 3,056.84, 4,216.56 and 2,664.80

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Solution

The fourth proportional to 3,056.84, 4,216.56 and 2,664.80 is: 3,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.84 : 4,216.56 = 2,664.80 : x
  2. Step 2: Convert to fraction form
    3,056.84/4,216.56 = 2,664.80/x
  3. Step 3: Cross multiply
    3,056.84x = 4,216.56 × 2,664.80
  4. Step 4: Simplify right side
    3,056.84x = 11,236,289.09
  5. Step 5: Solve for x
    x = 11,236,289.09/3,056.84
  6. Step 6: Final answer
    x = 3,675.79

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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.