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Finding the Fourth Proportional to 3,842.54, 5,300.61 and 3,344.30

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Solution

The fourth proportional to 3,842.54, 5,300.61 and 3,344.30 is: 4,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.54 : 5,300.61 = 3,344.30 : x
  2. Step 2: Convert to fraction form
    3,842.54/5,300.61 = 3,344.30/x
  3. Step 3: Cross multiply
    3,842.54x = 5,300.61 × 3,344.30
  4. Step 4: Simplify right side
    3,842.54x = 17,726,830.02
  5. Step 5: Solve for x
    x = 17,726,830.02/3,842.54
  6. Step 6: Final answer
    x = 4,613.31

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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.