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Finding the Fourth Proportional to 5,748.43, 8,622.42 and 1,644.43

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Solution

The fourth proportional to 5,748.43, 8,622.42 and 1,644.43 is: 2,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.43 : 8,622.42 = 1,644.43 : x
  2. Step 2: Convert to fraction form
    5,748.43/8,622.42 = 1,644.43/x
  3. Step 3: Cross multiply
    5,748.43x = 8,622.42 × 1,644.43
  4. Step 4: Simplify right side
    5,748.43x = 14,178,966.12
  5. Step 5: Solve for x
    x = 14,178,966.12/5,748.43
  6. Step 6: Final answer
    x = 2,466.58

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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.