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Finding the Fourth Proportional to 3,261.06, 4,890.24 and 952.02

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Solution

The fourth proportional to 3,261.06, 4,890.24 and 952.02 is: 1,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.06 : 4,890.24 = 952.02 : x
  2. Step 2: Convert to fraction form
    3,261.06/4,890.24 = 952.02/x
  3. Step 3: Cross multiply
    3,261.06x = 4,890.24 × 952.02
  4. Step 4: Simplify right side
    3,261.06x = 4,655,606.28
  5. Step 5: Solve for x
    x = 4,655,606.28/3,261.06
  6. Step 6: Final answer
    x = 1,427.64

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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.