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Finding the Fourth Proportional to 3,971.52, 5,955.12 and 3,276

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Solution

The fourth proportional to 3,971.52, 5,955.12 and 3,276 is: 4,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.52 : 5,955.12 = 3,276 : x
  2. Step 2: Convert to fraction form
    3,971.52/5,955.12 = 3,276/x
  3. Step 3: Cross multiply
    3,971.52x = 5,955.12 × 3,276
  4. Step 4: Simplify right side
    3,971.52x = 19,508,973.12
  5. Step 5: Solve for x
    x = 19,508,973.12/3,971.52
  6. Step 6: Final answer
    x = 4,912.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.