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Finding the Fourth Proportional to 5,689.07, 7,850.66 and 3,171.45

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Solution

The fourth proportional to 5,689.07, 7,850.66 and 3,171.45 is: 4,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.07 : 7,850.66 = 3,171.45 : x
  2. Step 2: Convert to fraction form
    5,689.07/7,850.66 = 3,171.45/x
  3. Step 3: Cross multiply
    5,689.07x = 7,850.66 × 3,171.45
  4. Step 4: Simplify right side
    5,689.07x = 24,897,989.24
  5. Step 5: Solve for x
    x = 24,897,989.24/5,689.07
  6. Step 6: Final answer
    x = 4,376.46

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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.