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Finding the Fourth Proportional to 4,896.45, 7,331.72 and 2,552.31

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Solution

The fourth proportional to 4,896.45, 7,331.72 and 2,552.31 is: 3,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.45 : 7,331.72 = 2,552.31 : x
  2. Step 2: Convert to fraction form
    4,896.45/7,331.72 = 2,552.31/x
  3. Step 3: Cross multiply
    4,896.45x = 7,331.72 × 2,552.31
  4. Step 4: Simplify right side
    4,896.45x = 18,712,809.51
  5. Step 5: Solve for x
    x = 18,712,809.51/4,896.45
  6. Step 6: Final answer
    x = 3,821.71

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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.