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Finding the Fourth Proportional to 5,583.45, 7,705.23 and 3,193.38

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Solution

The fourth proportional to 5,583.45, 7,705.23 and 3,193.38 is: 4,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.45 : 7,705.23 = 3,193.38 : x
  2. Step 2: Convert to fraction form
    5,583.45/7,705.23 = 3,193.38/x
  3. Step 3: Cross multiply
    5,583.45x = 7,705.23 × 3,193.38
  4. Step 4: Simplify right side
    5,583.45x = 24,605,737.07
  5. Step 5: Solve for x
    x = 24,605,737.07/5,583.45
  6. Step 6: Final answer
    x = 4,406.91

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Why These Related Problems?

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