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Finding the Fourth Proportional to 4,762.37, 7,145.00 and 2,297.27

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Solution

The fourth proportional to 4,762.37, 7,145.00 and 2,297.27 is: 3,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.37 : 7,145.00 = 2,297.27 : x
  2. Step 2: Convert to fraction form
    4,762.37/7,145.00 = 2,297.27/x
  3. Step 3: Cross multiply
    4,762.37x = 7,145.00 × 2,297.27
  4. Step 4: Simplify right side
    4,762.37x = 16,413,946.94
  5. Step 5: Solve for x
    x = 16,413,946.94/4,762.37
  6. Step 6: Final answer
    x = 3,446.60

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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.