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Finding the Fourth Proportional to 4,346.42, 6,519.16 and 1,226.34

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Solution

The fourth proportional to 4,346.42, 6,519.16 and 1,226.34 is: 1,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.42 : 6,519.16 = 1,226.34 : x
  2. Step 2: Convert to fraction form
    4,346.42/6,519.16 = 1,226.34/x
  3. Step 3: Cross multiply
    4,346.42x = 6,519.16 × 1,226.34
  4. Step 4: Simplify right side
    4,346.42x = 7,994,706.67
  5. Step 5: Solve for x
    x = 7,994,706.67/4,346.42
  6. Step 6: Final answer
    x = 1,839.38

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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.