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Finding the Fourth Proportional to 5,436, 7,499.14 and 3,196.45

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Solution

The fourth proportional to 5,436, 7,499.14 and 3,196.45 is: 4,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436 : 7,499.14 = 3,196.45 : x
  2. Step 2: Convert to fraction form
    5,436/7,499.14 = 3,196.45/x
  3. Step 3: Cross multiply
    5,436x = 7,499.14 × 3,196.45
  4. Step 4: Simplify right side
    5,436x = 23,970,626.05
  5. Step 5: Solve for x
    x = 23,970,626.05/5,436
  6. Step 6: Final answer
    x = 4,409.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.