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Finding the Fourth Proportional to 4,767.37, 7,152.01 and 1,647.49

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Solution

The fourth proportional to 4,767.37, 7,152.01 and 1,647.49 is: 2,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.37 : 7,152.01 = 1,647.49 : x
  2. Step 2: Convert to fraction form
    4,767.37/7,152.01 = 1,647.49/x
  3. Step 3: Cross multiply
    4,767.37x = 7,152.01 × 1,647.49
  4. Step 4: Simplify right side
    4,767.37x = 11,782,856.72
  5. Step 5: Solve for x
    x = 11,782,856.72/4,767.37
  6. Step 6: Final answer
    x = 2,471.56

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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.