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Finding the Fourth Proportional to 3,654.48, 5,481.72 and 1,574.32

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Solution

The fourth proportional to 3,654.48, 5,481.72 and 1,574.32 is: 2,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.48 : 5,481.72 = 1,574.32 : x
  2. Step 2: Convert to fraction form
    3,654.48/5,481.72 = 1,574.32/x
  3. Step 3: Cross multiply
    3,654.48x = 5,481.72 × 1,574.32
  4. Step 4: Simplify right side
    3,654.48x = 8,629,981.43
  5. Step 5: Solve for x
    x = 8,629,981.43/3,654.48
  6. Step 6: Final answer
    x = 2,361.48

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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.