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Finding the Fourth Proportional to 4,243.07, 5,855.62 and 2,564.48

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Solution

The fourth proportional to 4,243.07, 5,855.62 and 2,564.48 is: 3,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.07 : 5,855.62 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    4,243.07/5,855.62 = 2,564.48/x
  3. Step 3: Cross multiply
    4,243.07x = 5,855.62 × 2,564.48
  4. Step 4: Simplify right side
    4,243.07x = 15,016,620.38
  5. Step 5: Solve for x
    x = 15,016,620.38/4,243.07
  6. Step 6: Final answer
    x = 3,539.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.