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Finding the Fourth Proportional to 5,588.34, 8,383.38 and 1,691.82

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Solution

The fourth proportional to 5,588.34, 8,383.38 and 1,691.82 is: 2,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.34 : 8,383.38 = 1,691.82 : x
  2. Step 2: Convert to fraction form
    5,588.34/8,383.38 = 1,691.82/x
  3. Step 3: Cross multiply
    5,588.34x = 8,383.38 × 1,691.82
  4. Step 4: Simplify right side
    5,588.34x = 14,183,169.95
  5. Step 5: Solve for x
    x = 14,183,169.95/5,588.34
  6. Step 6: Final answer
    x = 2,537.99

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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.