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Finding the Fourth Proportional to 4,122.65, 6,178.37 and 2,270.99

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Solution

The fourth proportional to 4,122.65, 6,178.37 and 2,270.99 is: 3,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.65 : 6,178.37 = 2,270.99 : x
  2. Step 2: Convert to fraction form
    4,122.65/6,178.37 = 2,270.99/x
  3. Step 3: Cross multiply
    4,122.65x = 6,178.37 × 2,270.99
  4. Step 4: Simplify right side
    4,122.65x = 14,030,974.24
  5. Step 5: Solve for x
    x = 14,030,974.24/4,122.65
  6. Step 6: Final answer
    x = 3,403.39

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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.