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Finding the Fourth Proportional to 3,638.43, 5,455.76 and 1,297.53

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Solution

The fourth proportional to 3,638.43, 5,455.76 and 1,297.53 is: 1,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.43 : 5,455.76 = 1,297.53 : x
  2. Step 2: Convert to fraction form
    3,638.43/5,455.76 = 1,297.53/x
  3. Step 3: Cross multiply
    3,638.43x = 5,455.76 × 1,297.53
  4. Step 4: Simplify right side
    3,638.43x = 7,079,005.79
  5. Step 5: Solve for x
    x = 7,079,005.79/3,638.43
  6. Step 6: Final answer
    x = 1,945.62

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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.