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Finding the Fourth Proportional to 5,408, 8,112.24 and 1,760

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Solution

The fourth proportional to 5,408, 8,112.24 and 1,760 is: 2,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 8,112.24 = 1,760 : x
  2. Step 2: Convert to fraction form
    5,408/8,112.24 = 1,760/x
  3. Step 3: Cross multiply
    5,408x = 8,112.24 × 1,760
  4. Step 4: Simplify right side
    5,408x = 14,277,542.40
  5. Step 5: Solve for x
    x = 14,277,542.40/5,408
  6. Step 6: Final answer
    x = 2,640.08

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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.