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Finding the Fourth Proportional to 3,842.41, 5,300.88 and 2,424.97

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Solution

The fourth proportional to 3,842.41, 5,300.88 and 2,424.97 is: 3,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.41 : 5,300.88 = 2,424.97 : x
  2. Step 2: Convert to fraction form
    3,842.41/5,300.88 = 2,424.97/x
  3. Step 3: Cross multiply
    3,842.41x = 5,300.88 × 2,424.97
  4. Step 4: Simplify right side
    3,842.41x = 12,854,474.97
  5. Step 5: Solve for x
    x = 12,854,474.97/3,842.41
  6. Step 6: Final answer
    x = 3,345.42

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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.