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Finding the Fourth Proportional to 5,123.69, 7,685.99 and 2,202.22

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Solution

The fourth proportional to 5,123.69, 7,685.99 and 2,202.22 is: 3,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.69 : 7,685.99 = 2,202.22 : x
  2. Step 2: Convert to fraction form
    5,123.69/7,685.99 = 2,202.22/x
  3. Step 3: Cross multiply
    5,123.69x = 7,685.99 × 2,202.22
  4. Step 4: Simplify right side
    5,123.69x = 16,926,247.75
  5. Step 5: Solve for x
    x = 16,926,247.75/5,123.69
  6. Step 6: Final answer
    x = 3,303.53

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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.