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Finding the Fourth Proportional to 4,654.41, 6,983.50 and 2,989.39

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Solution

The fourth proportional to 4,654.41, 6,983.50 and 2,989.39 is: 4,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.41 : 6,983.50 = 2,989.39 : x
  2. Step 2: Convert to fraction form
    4,654.41/6,983.50 = 2,989.39/x
  3. Step 3: Cross multiply
    4,654.41x = 6,983.50 × 2,989.39
  4. Step 4: Simplify right side
    4,654.41x = 20,876,370.15
  5. Step 5: Solve for x
    x = 20,876,370.15/4,654.41
  6. Step 6: Final answer
    x = 4,485.29

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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.