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Finding the Fourth Proportional to 4,762.89, 7,150.89 and 2,424.48

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Solution

The fourth proportional to 4,762.89, 7,150.89 and 2,424.48 is: 3,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.89 : 7,150.89 = 2,424.48 : x
  2. Step 2: Convert to fraction form
    4,762.89/7,150.89 = 2,424.48/x
  3. Step 3: Cross multiply
    4,762.89x = 7,150.89 × 2,424.48
  4. Step 4: Simplify right side
    4,762.89x = 17,337,189.79
  5. Step 5: Solve for x
    x = 17,337,189.79/4,762.89
  6. Step 6: Final answer
    x = 3,640.06

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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.