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Finding the Fourth Proportional to 4,361.47, 6,541.22 and 1,241.40

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Solution

The fourth proportional to 4,361.47, 6,541.22 and 1,241.40 is: 1,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.47 : 6,541.22 = 1,241.40 : x
  2. Step 2: Convert to fraction form
    4,361.47/6,541.22 = 1,241.40/x
  3. Step 3: Cross multiply
    4,361.47x = 6,541.22 × 1,241.40
  4. Step 4: Simplify right side
    4,361.47x = 8,120,298.14
  5. Step 5: Solve for x
    x = 8,120,298.14/4,361.47
  6. Step 6: Final answer
    x = 1,861.83

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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.