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Finding the Fourth Proportional to 5,583.67, 8,369.62 and 1,884.60

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Solution

The fourth proportional to 5,583.67, 8,369.62 and 1,884.60 is: 2,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.67 : 8,369.62 = 1,884.60 : x
  2. Step 2: Convert to fraction form
    5,583.67/8,369.62 = 1,884.60/x
  3. Step 3: Cross multiply
    5,583.67x = 8,369.62 × 1,884.60
  4. Step 4: Simplify right side
    5,583.67x = 15,773,385.85
  5. Step 5: Solve for x
    x = 15,773,385.85/5,583.67
  6. Step 6: Final answer
    x = 2,824.91

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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.