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Finding the Fourth Proportional to 4,957.56, 6,842.19 and 3,165.81

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Solution

The fourth proportional to 4,957.56, 6,842.19 and 3,165.81 is: 4,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.56 : 6,842.19 = 3,165.81 : x
  2. Step 2: Convert to fraction form
    4,957.56/6,842.19 = 3,165.81/x
  3. Step 3: Cross multiply
    4,957.56x = 6,842.19 × 3,165.81
  4. Step 4: Simplify right side
    4,957.56x = 21,661,073.52
  5. Step 5: Solve for x
    x = 21,661,073.52/4,957.56
  6. Step 6: Final answer
    x = 4,369.30

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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.