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Finding the Fourth Proportional to 5,686.39, 7,847.10 and 3,168.49

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Solution

The fourth proportional to 5,686.39, 7,847.10 and 3,168.49 is: 4,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.39 : 7,847.10 = 3,168.49 : x
  2. Step 2: Convert to fraction form
    5,686.39/7,847.10 = 3,168.49/x
  3. Step 3: Cross multiply
    5,686.39x = 7,847.10 × 3,168.49
  4. Step 4: Simplify right side
    5,686.39x = 24,863,457.88
  5. Step 5: Solve for x
    x = 24,863,457.88/5,686.39
  6. Step 6: Final answer
    x = 4,372.45

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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.