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Finding the Fourth Proportional to 5,696.28, 7,858.14 and 3,456.72

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Solution

The fourth proportional to 5,696.28, 7,858.14 and 3,456.72 is: 4,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.28 : 7,858.14 = 3,456.72 : x
  2. Step 2: Convert to fraction form
    5,696.28/7,858.14 = 3,456.72/x
  3. Step 3: Cross multiply
    5,696.28x = 7,858.14 × 3,456.72
  4. Step 4: Simplify right side
    5,696.28x = 27,163,389.70
  5. Step 5: Solve for x
    x = 27,163,389.70/5,696.28
  6. Step 6: Final answer
    x = 4,768.62

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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.