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Finding the Fourth Proportional to 5,971.32, 8,958.78 and 2,411.61

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Solution

The fourth proportional to 5,971.32, 8,958.78 and 2,411.61 is: 3,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.32 : 8,958.78 = 2,411.61 : x
  2. Step 2: Convert to fraction form
    5,971.32/8,958.78 = 2,411.61/x
  3. Step 3: Cross multiply
    5,971.32x = 8,958.78 × 2,411.61
  4. Step 4: Simplify right side
    5,971.32x = 21,605,083.44
  5. Step 5: Solve for x
    x = 21,605,083.44/5,971.32
  6. Step 6: Final answer
    x = 3,618.14

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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.