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Finding the Fourth Proportional to 4,842.23, 6,678.69 and 3,047.96

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Solution

The fourth proportional to 4,842.23, 6,678.69 and 3,047.96 is: 4,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.23 : 6,678.69 = 3,047.96 : x
  2. Step 2: Convert to fraction form
    4,842.23/6,678.69 = 3,047.96/x
  3. Step 3: Cross multiply
    4,842.23x = 6,678.69 × 3,047.96
  4. Step 4: Simplify right side
    4,842.23x = 20,356,379.97
  5. Step 5: Solve for x
    x = 20,356,379.97/4,842.23
  6. Step 6: Final answer
    x = 4,203.93

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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.