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Finding the Fourth Proportional to 5,890.73, 8,130 and 3,800.93

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Solution

The fourth proportional to 5,890.73, 8,130 and 3,800.93 is: 5,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.73 : 8,130 = 3,800.93 : x
  2. Step 2: Convert to fraction form
    5,890.73/8,130 = 3,800.93/x
  3. Step 3: Cross multiply
    5,890.73x = 8,130 × 3,800.93
  4. Step 4: Simplify right side
    5,890.73x = 30,901,560.90
  5. Step 5: Solve for x
    x = 30,901,560.90/5,890.73
  6. Step 6: Final answer
    x = 5,245.79

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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.