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Finding the Fourth Proportional to 3,685.94, 5,087.67 and 2,945.06

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Solution

The fourth proportional to 3,685.94, 5,087.67 and 2,945.06 is: 4,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.94 : 5,087.67 = 2,945.06 : x
  2. Step 2: Convert to fraction form
    3,685.94/5,087.67 = 2,945.06/x
  3. Step 3: Cross multiply
    3,685.94x = 5,087.67 × 2,945.06
  4. Step 4: Simplify right side
    3,685.94x = 14,983,493.41
  5. Step 5: Solve for x
    x = 14,983,493.41/3,685.94
  6. Step 6: Final answer
    x = 4,065.04

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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.