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Finding the Fourth Proportional to 5,568.36, 7,683.30 and 3,471

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Solution

The fourth proportional to 5,568.36, 7,683.30 and 3,471 is: 4,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.36 : 7,683.30 = 3,471 : x
  2. Step 2: Convert to fraction form
    5,568.36/7,683.30 = 3,471/x
  3. Step 3: Cross multiply
    5,568.36x = 7,683.30 × 3,471
  4. Step 4: Simplify right side
    5,568.36x = 26,668,734.30
  5. Step 5: Solve for x
    x = 26,668,734.30/5,568.36
  6. Step 6: Final answer
    x = 4,789.33

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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.