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Finding the Fourth Proportional to 5,686.85, 7,846.81 and 3,168.89

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Solution

The fourth proportional to 5,686.85, 7,846.81 and 3,168.89 is: 4,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.85 : 7,846.81 = 3,168.89 : x
  2. Step 2: Convert to fraction form
    5,686.85/7,846.81 = 3,168.89/x
  3. Step 3: Cross multiply
    5,686.85x = 7,846.81 × 3,168.89
  4. Step 4: Simplify right side
    5,686.85x = 24,865,689.44
  5. Step 5: Solve for x
    x = 24,865,689.44/5,686.85
  6. Step 6: Final answer
    x = 4,372.49

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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.