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Finding the Fourth Proportional to 4,956.56, 6,840.16 and 2,967.20

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Solution

The fourth proportional to 4,956.56, 6,840.16 and 2,967.20 is: 4,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.56 : 6,840.16 = 2,967.20 : x
  2. Step 2: Convert to fraction form
    4,956.56/6,840.16 = 2,967.20/x
  3. Step 3: Cross multiply
    4,956.56x = 6,840.16 × 2,967.20
  4. Step 4: Simplify right side
    4,956.56x = 20,296,122.75
  5. Step 5: Solve for x
    x = 20,296,122.75/4,956.56
  6. Step 6: Final answer
    x = 4,094.80

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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.