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Finding the Fourth Proportional to 3,420.92, 5,131.23 and 2,377.84

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Solution

The fourth proportional to 3,420.92, 5,131.23 and 2,377.84 is: 3,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.92 : 5,131.23 = 2,377.84 : x
  2. Step 2: Convert to fraction form
    3,420.92/5,131.23 = 2,377.84/x
  3. Step 3: Cross multiply
    3,420.92x = 5,131.23 × 2,377.84
  4. Step 4: Simplify right side
    3,420.92x = 12,201,243.94
  5. Step 5: Solve for x
    x = 12,201,243.94/3,420.92
  6. Step 6: Final answer
    x = 3,566.66

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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.