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Finding the Fourth Proportional to 5,305.43, 7,313.06 and 4,184.54

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Solution

The fourth proportional to 5,305.43, 7,313.06 and 4,184.54 is: 5,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.43 : 7,313.06 = 4,184.54 : x
  2. Step 2: Convert to fraction form
    5,305.43/7,313.06 = 4,184.54/x
  3. Step 3: Cross multiply
    5,305.43x = 7,313.06 × 4,184.54
  4. Step 4: Simplify right side
    5,305.43x = 30,601,793.41
  5. Step 5: Solve for x
    x = 30,601,793.41/5,305.43
  6. Step 6: Final answer
    x = 5,768.02

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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.