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Finding the Fourth Proportional to 5,682.04, 7,841.23 and 3,164.64

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Solution

The fourth proportional to 5,682.04, 7,841.23 and 3,164.64 is: 4,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.04 : 7,841.23 = 3,164.64 : x
  2. Step 2: Convert to fraction form
    5,682.04/7,841.23 = 3,164.64/x
  3. Step 3: Cross multiply
    5,682.04x = 7,841.23 × 3,164.64
  4. Step 4: Simplify right side
    5,682.04x = 24,814,642.59
  5. Step 5: Solve for x
    x = 24,814,642.59/5,682.04
  6. Step 6: Final answer
    x = 4,367.20

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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.