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Finding the Fourth Proportional to 4,566.35, 6,850.01 and 1,446.80

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Solution

The fourth proportional to 4,566.35, 6,850.01 and 1,446.80 is: 2,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.35 : 6,850.01 = 1,446.80 : x
  2. Step 2: Convert to fraction form
    4,566.35/6,850.01 = 1,446.80/x
  3. Step 3: Cross multiply
    4,566.35x = 6,850.01 × 1,446.80
  4. Step 4: Simplify right side
    4,566.35x = 9,910,563.83
  5. Step 5: Solve for x
    x = 9,910,563.83/4,566.35
  6. Step 6: Final answer
    x = 2,170.35

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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.