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Finding the Fourth Proportional to 5,689.40, 7,851.41 and 3,171.67

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Solution

The fourth proportional to 5,689.40, 7,851.41 and 3,171.67 is: 4,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.40 : 7,851.41 = 3,171.67 : x
  2. Step 2: Convert to fraction form
    5,689.40/7,851.41 = 3,171.67/x
  3. Step 3: Cross multiply
    5,689.40x = 7,851.41 × 3,171.67
  4. Step 4: Simplify right side
    5,689.40x = 24,902,046.07
  5. Step 5: Solve for x
    x = 24,902,046.07/5,689.40
  6. Step 6: Final answer
    x = 4,376.92

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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.