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Finding the Fourth Proportional to 5,313.60, 7,331.60 and 3,217.68

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Solution

The fourth proportional to 5,313.60, 7,331.60 and 3,217.68 is: 4,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.60 : 7,331.60 = 3,217.68 : x
  2. Step 2: Convert to fraction form
    5,313.60/7,331.60 = 3,217.68/x
  3. Step 3: Cross multiply
    5,313.60x = 7,331.60 × 3,217.68
  4. Step 4: Simplify right side
    5,313.60x = 23,590,742.69
  5. Step 5: Solve for x
    x = 23,590,742.69/5,313.60
  6. Step 6: Final answer
    x = 4,439.69

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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.