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Finding the Fourth Proportional to 5,968.79, 8,952.49 and 1,586.59

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Solution

The fourth proportional to 5,968.79, 8,952.49 and 1,586.59 is: 2,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.79 : 8,952.49 = 1,586.59 : x
  2. Step 2: Convert to fraction form
    5,968.79/8,952.49 = 1,586.59/x
  3. Step 3: Cross multiply
    5,968.79x = 8,952.49 × 1,586.59
  4. Step 4: Simplify right side
    5,968.79x = 14,203,910.71
  5. Step 5: Solve for x
    x = 14,203,910.71/5,968.79
  6. Step 6: Final answer
    x = 2,379.70

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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.