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Finding the Fourth Proportional to 3,648.54, 5,464.89 and 2,262.24

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Solution

The fourth proportional to 3,648.54, 5,464.89 and 2,262.24 is: 3,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.54 : 5,464.89 = 2,262.24 : x
  2. Step 2: Convert to fraction form
    3,648.54/5,464.89 = 2,262.24/x
  3. Step 3: Cross multiply
    3,648.54x = 5,464.89 × 2,262.24
  4. Step 4: Simplify right side
    3,648.54x = 12,362,892.75
  5. Step 5: Solve for x
    x = 12,362,892.75/3,648.54
  6. Step 6: Final answer
    x = 3,388.45

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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.