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Finding the Fourth Proportional to 4,496.58, 6,738.80 and 3,522.96

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Solution

The fourth proportional to 4,496.58, 6,738.80 and 3,522.96 is: 5,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.58 : 6,738.80 = 3,522.96 : x
  2. Step 2: Convert to fraction form
    4,496.58/6,738.80 = 3,522.96/x
  3. Step 3: Cross multiply
    4,496.58x = 6,738.80 × 3,522.96
  4. Step 4: Simplify right side
    4,496.58x = 23,740,505.23
  5. Step 5: Solve for x
    x = 23,740,505.23/4,496.58
  6. Step 6: Final answer
    x = 5,279.68

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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.