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Finding the Fourth Proportional to 5,446.37, 8,171.15 and 1,748.52

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Solution

The fourth proportional to 5,446.37, 8,171.15 and 1,748.52 is: 2,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.37 : 8,171.15 = 1,748.52 : x
  2. Step 2: Convert to fraction form
    5,446.37/8,171.15 = 1,748.52/x
  3. Step 3: Cross multiply
    5,446.37x = 8,171.15 × 1,748.52
  4. Step 4: Simplify right side
    5,446.37x = 14,287,410.46
  5. Step 5: Solve for x
    x = 14,287,410.46/5,446.37
  6. Step 6: Final answer
    x = 2,623.29

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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.