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Finding the Fourth Proportional to 5,656.21, 7,805.97 and 3,138.46

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Solution

The fourth proportional to 5,656.21, 7,805.97 and 3,138.46 is: 4,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.21 : 7,805.97 = 3,138.46 : x
  2. Step 2: Convert to fraction form
    5,656.21/7,805.97 = 3,138.46/x
  3. Step 3: Cross multiply
    5,656.21x = 7,805.97 × 3,138.46
  4. Step 4: Simplify right side
    5,656.21x = 24,498,705.09
  5. Step 5: Solve for x
    x = 24,498,705.09/5,656.21
  6. Step 6: Final answer
    x = 4,331.30

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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.