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Finding the Fourth Proportional to 4,656.46, 6,419.34 and 3,164.44

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Solution

The fourth proportional to 4,656.46, 6,419.34 and 3,164.44 is: 4,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.46 : 6,419.34 = 3,164.44 : x
  2. Step 2: Convert to fraction form
    4,656.46/6,419.34 = 3,164.44/x
  3. Step 3: Cross multiply
    4,656.46x = 6,419.34 × 3,164.44
  4. Step 4: Simplify right side
    4,656.46x = 20,313,616.27
  5. Step 5: Solve for x
    x = 20,313,616.27/4,656.46
  6. Step 6: Final answer
    x = 4,362.46

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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.