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Finding the Fourth Proportional to 3,326.24, 4,580.16 and 2,884.16

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Solution

The fourth proportional to 3,326.24, 4,580.16 and 2,884.16 is: 3,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.24 : 4,580.16 = 2,884.16 : x
  2. Step 2: Convert to fraction form
    3,326.24/4,580.16 = 2,884.16/x
  3. Step 3: Cross multiply
    3,326.24x = 4,580.16 × 2,884.16
  4. Step 4: Simplify right side
    3,326.24x = 13,209,914.27
  5. Step 5: Solve for x
    x = 13,209,914.27/3,326.24
  6. Step 6: Final answer
    x = 3,971.43

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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.