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Finding the Fourth Proportional to 4,243.36, 5,859 and 3,660.16

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Solution

The fourth proportional to 4,243.36, 5,859 and 3,660.16 is: 5,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.36 : 5,859 = 3,660.16 : x
  2. Step 2: Convert to fraction form
    4,243.36/5,859 = 3,660.16/x
  3. Step 3: Cross multiply
    4,243.36x = 5,859 × 3,660.16
  4. Step 4: Simplify right side
    4,243.36x = 21,444,877.44
  5. Step 5: Solve for x
    x = 21,444,877.44/4,243.36
  6. Step 6: Final answer
    x = 5,053.75

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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.