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Finding the Fourth Proportional to 5,202.37, 7,804.23 and 2,737.31

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Solution

The fourth proportional to 5,202.37, 7,804.23 and 2,737.31 is: 4,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.37 : 7,804.23 = 2,737.31 : x
  2. Step 2: Convert to fraction form
    5,202.37/7,804.23 = 2,737.31/x
  3. Step 3: Cross multiply
    5,202.37x = 7,804.23 × 2,737.31
  4. Step 4: Simplify right side
    5,202.37x = 21,362,557.80
  5. Step 5: Solve for x
    x = 21,362,557.80/5,202.37
  6. Step 6: Final answer
    x = 4,106.31

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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.