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Finding the Fourth Proportional to 3,762.40, 5,192.74 and 2,191.42

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Solution

The fourth proportional to 3,762.40, 5,192.74 and 2,191.42 is: 3,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.40 : 5,192.74 = 2,191.42 : x
  2. Step 2: Convert to fraction form
    3,762.40/5,192.74 = 2,191.42/x
  3. Step 3: Cross multiply
    3,762.40x = 5,192.74 × 2,191.42
  4. Step 4: Simplify right side
    3,762.40x = 11,379,474.29
  5. Step 5: Solve for x
    x = 11,379,474.29/3,762.40
  6. Step 6: Final answer
    x = 3,024.53

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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.