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Finding the Fourth Proportional to 3,722.80, 5,582.37 and 1,846.51

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Solution

The fourth proportional to 3,722.80, 5,582.37 and 1,846.51 is: 2,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.80 : 5,582.37 = 1,846.51 : x
  2. Step 2: Convert to fraction form
    3,722.80/5,582.37 = 1,846.51/x
  3. Step 3: Cross multiply
    3,722.80x = 5,582.37 × 1,846.51
  4. Step 4: Simplify right side
    3,722.80x = 10,307,902.03
  5. Step 5: Solve for x
    x = 10,307,902.03/3,722.80
  6. Step 6: Final answer
    x = 2,768.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.