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Finding the Fourth Proportional to 4,233.25, 5,841.89 and 2,370.25

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Solution

The fourth proportional to 4,233.25, 5,841.89 and 2,370.25 is: 3,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.25 : 5,841.89 = 2,370.25 : x
  2. Step 2: Convert to fraction form
    4,233.25/5,841.89 = 2,370.25/x
  3. Step 3: Cross multiply
    4,233.25x = 5,841.89 × 2,370.25
  4. Step 4: Simplify right side
    4,233.25x = 13,846,739.77
  5. Step 5: Solve for x
    x = 13,846,739.77/4,233.25
  6. Step 6: Final answer
    x = 3,270.95

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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.