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Finding the Fourth Proportional to 5,980.73, 8,244.85 and 4,206.83

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Solution

The fourth proportional to 5,980.73, 8,244.85 and 4,206.83 is: 5,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.73 : 8,244.85 = 4,206.83 : x
  2. Step 2: Convert to fraction form
    5,980.73/8,244.85 = 4,206.83/x
  3. Step 3: Cross multiply
    5,980.73x = 8,244.85 × 4,206.83
  4. Step 4: Simplify right side
    5,980.73x = 34,684,667.58
  5. Step 5: Solve for x
    x = 34,684,667.58/5,980.73
  6. Step 6: Final answer
    x = 5,799.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.