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Finding the Fourth Proportional to 5,583, 7,704.54 and 3,099.48

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Solution

The fourth proportional to 5,583, 7,704.54 and 3,099.48 is: 4,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583 : 7,704.54 = 3,099.48 : x
  2. Step 2: Convert to fraction form
    5,583/7,704.54 = 3,099.48/x
  3. Step 3: Cross multiply
    5,583x = 7,704.54 × 3,099.48
  4. Step 4: Simplify right side
    5,583x = 23,880,067.64
  5. Step 5: Solve for x
    x = 23,880,067.64/5,583
  6. Step 6: Final answer
    x = 4,277.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.