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Finding the Fourth Proportional to 5,968.89, 8,953.94 and 1,586.39

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Solution

The fourth proportional to 5,968.89, 8,953.94 and 1,586.39 is: 2,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.89 : 8,953.94 = 1,586.39 : x
  2. Step 2: Convert to fraction form
    5,968.89/8,953.94 = 1,586.39/x
  3. Step 3: Cross multiply
    5,968.89x = 8,953.94 × 1,586.39
  4. Step 4: Simplify right side
    5,968.89x = 14,204,400.07
  5. Step 5: Solve for x
    x = 14,204,400.07/5,968.89
  6. Step 6: Final answer
    x = 2,379.74

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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.