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Finding the Fourth Proportional to 3,630.55, 5,444.83 and 997.42

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Solution

The fourth proportional to 3,630.55, 5,444.83 and 997.42 is: 1,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.55 : 5,444.83 = 997.42 : x
  2. Step 2: Convert to fraction form
    3,630.55/5,444.83 = 997.42/x
  3. Step 3: Cross multiply
    3,630.55x = 5,444.83 × 997.42
  4. Step 4: Simplify right side
    3,630.55x = 5,430,782.34
  5. Step 5: Solve for x
    x = 5,430,782.34/3,630.55
  6. Step 6: Final answer
    x = 1,495.86

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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.