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Finding the Fourth Proportional to 3,229.84, 4,457.64 and 2,336.48

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Solution

The fourth proportional to 3,229.84, 4,457.64 and 2,336.48 is: 3,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.84 : 4,457.64 = 2,336.48 : x
  2. Step 2: Convert to fraction form
    3,229.84/4,457.64 = 2,336.48/x
  3. Step 3: Cross multiply
    3,229.84x = 4,457.64 × 2,336.48
  4. Step 4: Simplify right side
    3,229.84x = 10,415,186.71
  5. Step 5: Solve for x
    x = 10,415,186.71/3,229.84
  6. Step 6: Final answer
    x = 3,224.68

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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.