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Finding the Fourth Proportional to 3,242.16, 4,863.04 and 1,292.96

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Solution

The fourth proportional to 3,242.16, 4,863.04 and 1,292.96 is: 1,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.16 : 4,863.04 = 1,292.96 : x
  2. Step 2: Convert to fraction form
    3,242.16/4,863.04 = 1,292.96/x
  3. Step 3: Cross multiply
    3,242.16x = 4,863.04 × 1,292.96
  4. Step 4: Simplify right side
    3,242.16x = 6,287,725.12
  5. Step 5: Solve for x
    x = 6,287,725.12/3,242.16
  6. Step 6: Final answer
    x = 1,939.36

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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.