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Finding the Fourth Proportional to 4,956.37, 6,840 and 2,832.25

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Solution

The fourth proportional to 4,956.37, 6,840 and 2,832.25 is: 3,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.37 : 6,840 = 2,832.25 : x
  2. Step 2: Convert to fraction form
    4,956.37/6,840 = 2,832.25/x
  3. Step 3: Cross multiply
    4,956.37x = 6,840 × 2,832.25
  4. Step 4: Simplify right side
    4,956.37x = 19,372,590
  5. Step 5: Solve for x
    x = 19,372,590/4,956.37
  6. Step 6: Final answer
    x = 3,908.62

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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.