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Finding the Fourth Proportional to 6,131.53, 8,461.41 and 3,613.24

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Solution

The fourth proportional to 6,131.53, 8,461.41 and 3,613.24 is: 4,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.53 : 8,461.41 = 3,613.24 : x
  2. Step 2: Convert to fraction form
    6,131.53/8,461.41 = 3,613.24/x
  3. Step 3: Cross multiply
    6,131.53x = 8,461.41 × 3,613.24
  4. Step 4: Simplify right side
    6,131.53x = 30,573,062.76
  5. Step 5: Solve for x
    x = 30,573,062.76/6,131.53
  6. Step 6: Final answer
    x = 4,986.21

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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.