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Finding the Fourth Proportional to 4,956.64, 6,832.20 and 3,362.80

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Solution

The fourth proportional to 4,956.64, 6,832.20 and 3,362.80 is: 4,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.64 : 6,832.20 = 3,362.80 : x
  2. Step 2: Convert to fraction form
    4,956.64/6,832.20 = 3,362.80/x
  3. Step 3: Cross multiply
    4,956.64x = 6,832.20 × 3,362.80
  4. Step 4: Simplify right side
    4,956.64x = 22,975,322.16
  5. Step 5: Solve for x
    x = 22,975,322.16/4,956.64
  6. Step 6: Final answer
    x = 4,635.26

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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.