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Finding the Fourth Proportional to 4,957.97, 6,842.31 and 3,276.43

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Solution

The fourth proportional to 4,957.97, 6,842.31 and 3,276.43 is: 4,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.97 : 6,842.31 = 3,276.43 : x
  2. Step 2: Convert to fraction form
    4,957.97/6,842.31 = 3,276.43/x
  3. Step 3: Cross multiply
    4,957.97x = 6,842.31 × 3,276.43
  4. Step 4: Simplify right side
    4,957.97x = 22,418,315.54
  5. Step 5: Solve for x
    x = 22,418,315.54/4,957.97
  6. Step 6: Final answer
    x = 4,521.67

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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.