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Finding the Fourth Proportional to 3,872.84, 5,804.02 and 2,485.46

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Solution

The fourth proportional to 3,872.84, 5,804.02 and 2,485.46 is: 3,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.84 : 5,804.02 = 2,485.46 : x
  2. Step 2: Convert to fraction form
    3,872.84/5,804.02 = 2,485.46/x
  3. Step 3: Cross multiply
    3,872.84x = 5,804.02 × 2,485.46
  4. Step 4: Simplify right side
    3,872.84x = 14,425,659.55
  5. Step 5: Solve for x
    x = 14,425,659.55/3,872.84
  6. Step 6: Final answer
    x = 3,724.83

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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.