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Finding the Fourth Proportional to 4,361.89, 6,543.78 and 1,399.65

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Solution

The fourth proportional to 4,361.89, 6,543.78 and 1,399.65 is: 2,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.89 : 6,543.78 = 1,399.65 : x
  2. Step 2: Convert to fraction form
    4,361.89/6,543.78 = 1,399.65/x
  3. Step 3: Cross multiply
    4,361.89x = 6,543.78 × 1,399.65
  4. Step 4: Simplify right side
    4,361.89x = 9,158,968.96
  5. Step 5: Solve for x
    x = 9,158,968.96/4,361.89
  6. Step 6: Final answer
    x = 2,099.77

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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.