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Finding the Fourth Proportional to 4,297.36, 6,446.10 and 1,219.36

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Solution

The fourth proportional to 4,297.36, 6,446.10 and 1,219.36 is: 1,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.36 : 6,446.10 = 1,219.36 : x
  2. Step 2: Convert to fraction form
    4,297.36/6,446.10 = 1,219.36/x
  3. Step 3: Cross multiply
    4,297.36x = 6,446.10 × 1,219.36
  4. Step 4: Simplify right side
    4,297.36x = 7,860,116.50
  5. Step 5: Solve for x
    x = 7,860,116.50/4,297.36
  6. Step 6: Final answer
    x = 1,829.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.