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Finding the Fourth Proportional to 5,971.77, 8,239.74 and 3,613.86

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Solution

The fourth proportional to 5,971.77, 8,239.74 and 3,613.86 is: 4,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.77 : 8,239.74 = 3,613.86 : x
  2. Step 2: Convert to fraction form
    5,971.77/8,239.74 = 3,613.86/x
  3. Step 3: Cross multiply
    5,971.77x = 8,239.74 × 3,613.86
  4. Step 4: Simplify right side
    5,971.77x = 29,777,266.80
  5. Step 5: Solve for x
    x = 29,777,266.80/5,971.77
  6. Step 6: Final answer
    x = 4,986.34

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1.5x scale

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.