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Finding the Fourth Proportional to 5,582.40, 7,704.84 and 3,224.22

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Solution

The fourth proportional to 5,582.40, 7,704.84 and 3,224.22 is: 4,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.40 : 7,704.84 = 3,224.22 : x
  2. Step 2: Convert to fraction form
    5,582.40/7,704.84 = 3,224.22/x
  3. Step 3: Cross multiply
    5,582.40x = 7,704.84 × 3,224.22
  4. Step 4: Simplify right side
    5,582.40x = 24,842,099.22
  5. Step 5: Solve for x
    x = 24,842,099.22/5,582.40
  6. Step 6: Final answer
    x = 4,450.08

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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.