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Finding the Fourth Proportional to 5,686.51, 7,847.96 and 3,169.03

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Solution

The fourth proportional to 5,686.51, 7,847.96 and 3,169.03 is: 4,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.51 : 7,847.96 = 3,169.03 : x
  2. Step 2: Convert to fraction form
    5,686.51/7,847.96 = 3,169.03/x
  3. Step 3: Cross multiply
    5,686.51x = 7,847.96 × 3,169.03
  4. Step 4: Simplify right side
    5,686.51x = 24,870,420.68
  5. Step 5: Solve for x
    x = 24,870,420.68/5,686.51
  6. Step 6: Final answer
    x = 4,373.58

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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.