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Finding the Fourth Proportional to 5,204.66, 7,182.44 and 2,846.80

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Solution

The fourth proportional to 5,204.66, 7,182.44 and 2,846.80 is: 3,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.66 : 7,182.44 = 2,846.80 : x
  2. Step 2: Convert to fraction form
    5,204.66/7,182.44 = 2,846.80/x
  3. Step 3: Cross multiply
    5,204.66x = 7,182.44 × 2,846.80
  4. Step 4: Simplify right side
    5,204.66x = 20,446,970.19
  5. Step 5: Solve for x
    x = 20,446,970.19/5,204.66
  6. Step 6: Final answer
    x = 3,928.59

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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.