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Finding the Fourth Proportional to 6,131.22, 8,461.01 and 3,613.44

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Solution

The fourth proportional to 6,131.22, 8,461.01 and 3,613.44 is: 4,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.22 : 8,461.01 = 3,613.44 : x
  2. Step 2: Convert to fraction form
    6,131.22/8,461.01 = 3,613.44/x
  3. Step 3: Cross multiply
    6,131.22x = 8,461.01 × 3,613.44
  4. Step 4: Simplify right side
    6,131.22x = 30,573,358.78
  5. Step 5: Solve for x
    x = 30,573,358.78/6,131.22
  6. Step 6: Final answer
    x = 4,986.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.