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Finding the Fourth Proportional to 5,436, 8,153.82 and 1,738.44

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Solution

The fourth proportional to 5,436, 8,153.82 and 1,738.44 is: 2,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436 : 8,153.82 = 1,738.44 : x
  2. Step 2: Convert to fraction form
    5,436/8,153.82 = 1,738.44/x
  3. Step 3: Cross multiply
    5,436x = 8,153.82 × 1,738.44
  4. Step 4: Simplify right side
    5,436x = 14,174,926.84
  5. Step 5: Solve for x
    x = 14,174,926.84/5,436
  6. Step 6: Final answer
    x = 2,607.60

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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.