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Finding the Fourth Proportional to 5,388.84, 8,084.34 and 1,691.64

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Solution

The fourth proportional to 5,388.84, 8,084.34 and 1,691.64 is: 2,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.84 : 8,084.34 = 1,691.64 : x
  2. Step 2: Convert to fraction form
    5,388.84/8,084.34 = 1,691.64/x
  3. Step 3: Cross multiply
    5,388.84x = 8,084.34 × 1,691.64
  4. Step 4: Simplify right side
    5,388.84x = 13,675,792.92
  5. Step 5: Solve for x
    x = 13,675,792.92/5,388.84
  6. Step 6: Final answer
    x = 2,537.80

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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.