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Finding the Fourth Proportional to 4,824.33, 7,238.61 and 2,051.28

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Solution

The fourth proportional to 4,824.33, 7,238.61 and 2,051.28 is: 3,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.33 : 7,238.61 = 2,051.28 : x
  2. Step 2: Convert to fraction form
    4,824.33/7,238.61 = 2,051.28/x
  3. Step 3: Cross multiply
    4,824.33x = 7,238.61 × 2,051.28
  4. Step 4: Simplify right side
    4,824.33x = 14,848,415.92
  5. Step 5: Solve for x
    x = 14,848,415.92/4,824.33
  6. Step 6: Final answer
    x = 3,077.82

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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.