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Finding the Fourth Proportional to 3,843.36, 5,309.28 and 3,056.40

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Solution

The fourth proportional to 3,843.36, 5,309.28 and 3,056.40 is: 4,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.36 : 5,309.28 = 3,056.40 : x
  2. Step 2: Convert to fraction form
    3,843.36/5,309.28 = 3,056.40/x
  3. Step 3: Cross multiply
    3,843.36x = 5,309.28 × 3,056.40
  4. Step 4: Simplify right side
    3,843.36x = 16,227,283.39
  5. Step 5: Solve for x
    x = 16,227,283.39/3,843.36
  6. Step 6: Final answer
    x = 4,222.16

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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.