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Finding the Fourth Proportional to 4,821.44, 7,232.69 and 1,533.77

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Solution

The fourth proportional to 4,821.44, 7,232.69 and 1,533.77 is: 2,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.44 : 7,232.69 = 1,533.77 : x
  2. Step 2: Convert to fraction form
    4,821.44/7,232.69 = 1,533.77/x
  3. Step 3: Cross multiply
    4,821.44x = 7,232.69 × 1,533.77
  4. Step 4: Simplify right side
    4,821.44x = 11,093,277.73
  5. Step 5: Solve for x
    x = 11,093,277.73/4,821.44
  6. Step 6: Final answer
    x = 2,300.82

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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.