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Finding the Fourth Proportional to 5,644.08, 7,788.24 and 3,285.72

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Solution

The fourth proportional to 5,644.08, 7,788.24 and 3,285.72 is: 4,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.08 : 7,788.24 = 3,285.72 : x
  2. Step 2: Convert to fraction form
    5,644.08/7,788.24 = 3,285.72/x
  3. Step 3: Cross multiply
    5,644.08x = 7,788.24 × 3,285.72
  4. Step 4: Simplify right side
    5,644.08x = 25,589,975.93
  5. Step 5: Solve for x
    x = 25,589,975.93/5,644.08
  6. Step 6: Final answer
    x = 4,533.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.