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Finding the Fourth Proportional to 5,670.97, 7,826.20 and 3,153.34

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Solution

The fourth proportional to 5,670.97, 7,826.20 and 3,153.34 is: 4,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.97 : 7,826.20 = 3,153.34 : x
  2. Step 2: Convert to fraction form
    5,670.97/7,826.20 = 3,153.34/x
  3. Step 3: Cross multiply
    5,670.97x = 7,826.20 × 3,153.34
  4. Step 4: Simplify right side
    5,670.97x = 24,678,622.49
  5. Step 5: Solve for x
    x = 24,678,622.49/5,670.97
  6. Step 6: Final answer
    x = 4,351.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.