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Finding the Fourth Proportional to 3,405.42, 5,096.49 and 2,366.60

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Solution

The fourth proportional to 3,405.42, 5,096.49 and 2,366.60 is: 3,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.42 : 5,096.49 = 2,366.60 : x
  2. Step 2: Convert to fraction form
    3,405.42/5,096.49 = 2,366.60/x
  3. Step 3: Cross multiply
    3,405.42x = 5,096.49 × 2,366.60
  4. Step 4: Simplify right side
    3,405.42x = 12,061,318.88
  5. Step 5: Solve for x
    x = 12,061,318.88/3,405.42
  6. Step 6: Final answer
    x = 3,541.80

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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.