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Finding the Fourth Proportional to 5,286.70, 7,930.06 and 1,588.96

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Solution

The fourth proportional to 5,286.70, 7,930.06 and 1,588.96 is: 2,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.70 : 7,930.06 = 1,588.96 : x
  2. Step 2: Convert to fraction form
    5,286.70/7,930.06 = 1,588.96/x
  3. Step 3: Cross multiply
    5,286.70x = 7,930.06 × 1,588.96
  4. Step 4: Simplify right side
    5,286.70x = 12,600,548.14
  5. Step 5: Solve for x
    x = 12,600,548.14/5,286.70
  6. Step 6: Final answer
    x = 2,383.44

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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.