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Finding the Fourth Proportional to 3,285.24, 4,928.22 and 1,436.88

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Solution

The fourth proportional to 3,285.24, 4,928.22 and 1,436.88 is: 2,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.24 : 4,928.22 = 1,436.88 : x
  2. Step 2: Convert to fraction form
    3,285.24/4,928.22 = 1,436.88/x
  3. Step 3: Cross multiply
    3,285.24x = 4,928.22 × 1,436.88
  4. Step 4: Simplify right side
    3,285.24x = 7,081,260.75
  5. Step 5: Solve for x
    x = 7,081,260.75/3,285.24
  6. Step 6: Final answer
    x = 2,155.48

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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.