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Finding the Fourth Proportional to 4,956, 6,837.36 and 3,164.16

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Solution

The fourth proportional to 4,956, 6,837.36 and 3,164.16 is: 4,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956 : 6,837.36 = 3,164.16 : x
  2. Step 2: Convert to fraction form
    4,956/6,837.36 = 3,164.16/x
  3. Step 3: Cross multiply
    4,956x = 6,837.36 × 3,164.16
  4. Step 4: Simplify right side
    4,956x = 21,634,501.02
  5. Step 5: Solve for x
    x = 21,634,501.02/4,956
  6. Step 6: Final answer
    x = 4,365.31

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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.