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Finding the Fourth Proportional to 4,243.47, 5,855.09 and 2,564.54

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Solution

The fourth proportional to 4,243.47, 5,855.09 and 2,564.54 is: 3,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.47 : 5,855.09 = 2,564.54 : x
  2. Step 2: Convert to fraction form
    4,243.47/5,855.09 = 2,564.54/x
  3. Step 3: Cross multiply
    4,243.47x = 5,855.09 × 2,564.54
  4. Step 4: Simplify right side
    4,243.47x = 15,015,625.30
  5. Step 5: Solve for x
    x = 15,015,625.30/4,243.47
  6. Step 6: Final answer
    x = 3,538.52

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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.