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Finding the Fourth Proportional to 5,712.69, 7,883.61 and 3,474.66

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Solution

The fourth proportional to 5,712.69, 7,883.61 and 3,474.66 is: 4,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.69 : 7,883.61 = 3,474.66 : x
  2. Step 2: Convert to fraction form
    5,712.69/7,883.61 = 3,474.66/x
  3. Step 3: Cross multiply
    5,712.69x = 7,883.61 × 3,474.66
  4. Step 4: Simplify right side
    5,712.69x = 27,392,864.32
  5. Step 5: Solve for x
    x = 27,392,864.32/5,712.69
  6. Step 6: Final answer
    x = 4,795.09

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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.