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Finding the Fourth Proportional to 3,762.59, 5,194.83 and 2,348.43

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Solution

The fourth proportional to 3,762.59, 5,194.83 and 2,348.43 is: 3,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.59 : 5,194.83 = 2,348.43 : x
  2. Step 2: Convert to fraction form
    3,762.59/5,194.83 = 2,348.43/x
  3. Step 3: Cross multiply
    3,762.59x = 5,194.83 × 2,348.43
  4. Step 4: Simplify right side
    3,762.59x = 12,199,683.94
  5. Step 5: Solve for x
    x = 12,199,683.94/3,762.59
  6. Step 6: Final answer
    x = 3,242.37

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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.