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Finding the Fourth Proportional to 4,566.38, 6,849.60 and 1,446.32

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Solution

The fourth proportional to 4,566.38, 6,849.60 and 1,446.32 is: 2,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.38 : 6,849.60 = 1,446.32 : x
  2. Step 2: Convert to fraction form
    4,566.38/6,849.60 = 1,446.32/x
  3. Step 3: Cross multiply
    4,566.38x = 6,849.60 × 1,446.32
  4. Step 4: Simplify right side
    4,566.38x = 9,906,679.22
  5. Step 5: Solve for x
    x = 9,906,679.22/4,566.38
  6. Step 6: Final answer
    x = 2,169.48

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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.