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Finding the Fourth Proportional to 3,630.34, 5,409.44 and 3,454.03

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Solution

The fourth proportional to 3,630.34, 5,409.44 and 3,454.03 is: 5,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.34 : 5,409.44 = 3,454.03 : x
  2. Step 2: Convert to fraction form
    3,630.34/5,409.44 = 3,454.03/x
  3. Step 3: Cross multiply
    3,630.34x = 5,409.44 × 3,454.03
  4. Step 4: Simplify right side
    3,630.34x = 18,684,368.04
  5. Step 5: Solve for x
    x = 18,684,368.04/3,630.34
  6. Step 6: Final answer
    x = 5,146.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.