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Finding the Fourth Proportional to 5,230.56, 7,207.53 and 4,861.47

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Solution

The fourth proportional to 5,230.56, 7,207.53 and 4,861.47 is: 6,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.56 : 7,207.53 = 4,861.47 : x
  2. Step 2: Convert to fraction form
    5,230.56/7,207.53 = 4,861.47/x
  3. Step 3: Cross multiply
    5,230.56x = 7,207.53 × 4,861.47
  4. Step 4: Simplify right side
    5,230.56x = 35,039,190.87
  5. Step 5: Solve for x
    x = 35,039,190.87/5,230.56
  6. Step 6: Final answer
    x = 6,698.94

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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.