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Finding the Fourth Proportional to 5,675.91, 7,831.51 and 3,316.96

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Solution

The fourth proportional to 5,675.91, 7,831.51 and 3,316.96 is: 4,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.91 : 7,831.51 = 3,316.96 : x
  2. Step 2: Convert to fraction form
    5,675.91/7,831.51 = 3,316.96/x
  3. Step 3: Cross multiply
    5,675.91x = 7,831.51 × 3,316.96
  4. Step 4: Simplify right side
    5,675.91x = 25,976,805.41
  5. Step 5: Solve for x
    x = 25,976,805.41/5,675.91
  6. Step 6: Final answer
    x = 4,576.68

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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.