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Finding the Fourth Proportional to 4,361.85, 6,541.16 and 1,587.60

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Solution

The fourth proportional to 4,361.85, 6,541.16 and 1,587.60 is: 2,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.85 : 6,541.16 = 1,587.60 : x
  2. Step 2: Convert to fraction form
    4,361.85/6,541.16 = 1,587.60/x
  3. Step 3: Cross multiply
    4,361.85x = 6,541.16 × 1,587.60
  4. Step 4: Simplify right side
    4,361.85x = 10,384,737.68
  5. Step 5: Solve for x
    x = 10,384,737.68/4,361.85
  6. Step 6: Final answer
    x = 2,380.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.