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Finding the Fourth Proportional to 3,956.93, 5,461.64 and 2,463.96

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Solution

The fourth proportional to 3,956.93, 5,461.64 and 2,463.96 is: 3,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.93 : 5,461.64 = 2,463.96 : x
  2. Step 2: Convert to fraction form
    3,956.93/5,461.64 = 2,463.96/x
  3. Step 3: Cross multiply
    3,956.93x = 5,461.64 × 2,463.96
  4. Step 4: Simplify right side
    3,956.93x = 13,457,279.90
  5. Step 5: Solve for x
    x = 13,457,279.90/3,956.93
  6. Step 6: Final answer
    x = 3,400.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.