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Finding the Fourth Proportional to 5,286.90, 7,930.76 and 1,588.84

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Solution

The fourth proportional to 5,286.90, 7,930.76 and 1,588.84 is: 2,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.90 : 7,930.76 = 1,588.84 : x
  2. Step 2: Convert to fraction form
    5,286.90/7,930.76 = 1,588.84/x
  3. Step 3: Cross multiply
    5,286.90x = 7,930.76 × 1,588.84
  4. Step 4: Simplify right side
    5,286.90x = 12,600,708.72
  5. Step 5: Solve for x
    x = 12,600,708.72/5,286.90
  6. Step 6: Final answer
    x = 2,383.38

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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.