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Finding the Fourth Proportional to 6,131.66, 8,461.62 and 3,613.88

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Solution

The fourth proportional to 6,131.66, 8,461.62 and 3,613.88 is: 4,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.66 : 8,461.62 = 3,613.88 : x
  2. Step 2: Convert to fraction form
    6,131.66/8,461.62 = 3,613.88/x
  3. Step 3: Cross multiply
    6,131.66x = 8,461.62 × 3,613.88
  4. Step 4: Simplify right side
    6,131.66x = 30,579,261.22
  5. Step 5: Solve for x
    x = 30,579,261.22/6,131.66
  6. Step 6: Final answer
    x = 4,987.11

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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.