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Finding the Fourth Proportional to 4,297.38, 6,446.06 and 1,219.38

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Solution

The fourth proportional to 4,297.38, 6,446.06 and 1,219.38 is: 1,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.38 : 6,446.06 = 1,219.38 : x
  2. Step 2: Convert to fraction form
    4,297.38/6,446.06 = 1,219.38/x
  3. Step 3: Cross multiply
    4,297.38x = 6,446.06 × 1,219.38
  4. Step 4: Simplify right side
    4,297.38x = 7,860,196.64
  5. Step 5: Solve for x
    x = 7,860,196.64/4,297.38
  6. Step 6: Final answer
    x = 1,829.07

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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.