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Finding the Fourth Proportional to 5,716.69, 7,890.06 and 3,358.96

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Solution

The fourth proportional to 5,716.69, 7,890.06 and 3,358.96 is: 4,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.69 : 7,890.06 = 3,358.96 : x
  2. Step 2: Convert to fraction form
    5,716.69/7,890.06 = 3,358.96/x
  3. Step 3: Cross multiply
    5,716.69x = 7,890.06 × 3,358.96
  4. Step 4: Simplify right side
    5,716.69x = 26,502,395.94
  5. Step 5: Solve for x
    x = 26,502,395.94/5,716.69
  6. Step 6: Final answer
    x = 4,635.97

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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.