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Finding the Fourth Proportional to 4,571.63, 6,309.27 and 2,582.68

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Solution

The fourth proportional to 4,571.63, 6,309.27 and 2,582.68 is: 3,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.63 : 6,309.27 = 2,582.68 : x
  2. Step 2: Convert to fraction form
    4,571.63/6,309.27 = 2,582.68/x
  3. Step 3: Cross multiply
    4,571.63x = 6,309.27 × 2,582.68
  4. Step 4: Simplify right side
    4,571.63x = 16,294,825.44
  5. Step 5: Solve for x
    x = 16,294,825.44/4,571.63
  6. Step 6: Final answer
    x = 3,564.34

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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.