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Finding the Fourth Proportional to 6,332.40, 8,736.48 and 3,679.20

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Solution

The fourth proportional to 6,332.40, 8,736.48 and 3,679.20 is: 5,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.40 : 8,736.48 = 3,679.20 : x
  2. Step 2: Convert to fraction form
    6,332.40/8,736.48 = 3,679.20/x
  3. Step 3: Cross multiply
    6,332.40x = 8,736.48 × 3,679.20
  4. Step 4: Simplify right side
    6,332.40x = 32,143,257.22
  5. Step 5: Solve for x
    x = 32,143,257.22/6,332.40
  6. Step 6: Final answer
    x = 5,076.00

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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.