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Finding the Fourth Proportional to 4,571.86, 6,309.12 and 2,582.41

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Solution

The fourth proportional to 4,571.86, 6,309.12 and 2,582.41 is: 3,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.86 : 6,309.12 = 2,582.41 : x
  2. Step 2: Convert to fraction form
    4,571.86/6,309.12 = 2,582.41/x
  3. Step 3: Cross multiply
    4,571.86x = 6,309.12 × 2,582.41
  4. Step 4: Simplify right side
    4,571.86x = 16,292,734.58
  5. Step 5: Solve for x
    x = 16,292,734.58/4,571.86
  6. Step 6: Final answer
    x = 3,563.70

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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.