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Finding the Fourth Proportional to 5,286.70, 7,930.87 and 1,588.51

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Solution

The fourth proportional to 5,286.70, 7,930.87 and 1,588.51 is: 2,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.70 : 7,930.87 = 1,588.51 : x
  2. Step 2: Convert to fraction form
    5,286.70/7,930.87 = 1,588.51/x
  3. Step 3: Cross multiply
    5,286.70x = 7,930.87 × 1,588.51
  4. Step 4: Simplify right side
    5,286.70x = 12,598,262.33
  5. Step 5: Solve for x
    x = 12,598,262.33/5,286.70
  6. Step 6: Final answer
    x = 2,383.01

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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.