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Finding the Fourth Proportional to 5,966.22, 8,232.48 and 3,313.64

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Solution

The fourth proportional to 5,966.22, 8,232.48 and 3,313.64 is: 4,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.22 : 8,232.48 = 3,313.64 : x
  2. Step 2: Convert to fraction form
    5,966.22/8,232.48 = 3,313.64/x
  3. Step 3: Cross multiply
    5,966.22x = 8,232.48 × 3,313.64
  4. Step 4: Simplify right side
    5,966.22x = 27,279,475.03
  5. Step 5: Solve for x
    x = 27,279,475.03/5,966.22
  6. Step 6: Final answer
    x = 4,572.32

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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.