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Finding the Fourth Proportional to 5,971.64, 8,958.06 and 2,463.12

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Solution

The fourth proportional to 5,971.64, 8,958.06 and 2,463.12 is: 3,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.64 : 8,958.06 = 2,463.12 : x
  2. Step 2: Convert to fraction form
    5,971.64/8,958.06 = 2,463.12/x
  3. Step 3: Cross multiply
    5,971.64x = 8,958.06 × 2,463.12
  4. Step 4: Simplify right side
    5,971.64x = 22,064,776.75
  5. Step 5: Solve for x
    x = 22,064,776.75/5,971.64
  6. Step 6: Final answer
    x = 3,694.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.