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Finding the Fourth Proportional to 5,677.27, 7,842.13 and 4,736.17

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Solution

The fourth proportional to 5,677.27, 7,842.13 and 4,736.17 is: 6,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.27 : 7,842.13 = 4,736.17 : x
  2. Step 2: Convert to fraction form
    5,677.27/7,842.13 = 4,736.17/x
  3. Step 3: Cross multiply
    5,677.27x = 7,842.13 × 4,736.17
  4. Step 4: Simplify right side
    5,677.27x = 37,141,660.84
  5. Step 5: Solve for x
    x = 37,141,660.84/5,677.27
  6. Step 6: Final answer
    x = 6,542.17

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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.