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Finding the Fourth Proportional to 4,762.37, 7,137.07 and 3,027.89

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Solution

The fourth proportional to 4,762.37, 7,137.07 and 3,027.89 is: 4,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.37 : 7,137.07 = 3,027.89 : x
  2. Step 2: Convert to fraction form
    4,762.37/7,137.07 = 3,027.89/x
  3. Step 3: Cross multiply
    4,762.37x = 7,137.07 × 3,027.89
  4. Step 4: Simplify right side
    4,762.37x = 21,610,262.88
  5. Step 5: Solve for x
    x = 21,610,262.88/4,762.37
  6. Step 6: Final answer
    x = 4,537.71

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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.