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Finding the Fourth Proportional to 4,957.92, 6,842.34 and 4,071.24

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Solution

The fourth proportional to 4,957.92, 6,842.34 and 4,071.24 is: 5,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.92 : 6,842.34 = 4,071.24 : x
  2. Step 2: Convert to fraction form
    4,957.92/6,842.34 = 4,071.24/x
  3. Step 3: Cross multiply
    4,957.92x = 6,842.34 × 4,071.24
  4. Step 4: Simplify right side
    4,957.92x = 27,856,808.30
  5. Step 5: Solve for x
    x = 27,856,808.30/4,957.92
  6. Step 6: Final answer
    x = 5,618.65

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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.