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Finding the Fourth Proportional to 3,765.42, 5,194.53 and 2,348.19

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Solution

The fourth proportional to 3,765.42, 5,194.53 and 2,348.19 is: 3,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.42 : 5,194.53 = 2,348.19 : x
  2. Step 2: Convert to fraction form
    3,765.42/5,194.53 = 2,348.19/x
  3. Step 3: Cross multiply
    3,765.42x = 5,194.53 × 2,348.19
  4. Step 4: Simplify right side
    3,765.42x = 12,197,743.40
  5. Step 5: Solve for x
    x = 12,197,743.40/3,765.42
  6. Step 6: Final answer
    x = 3,239.41

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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.