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Finding the Fourth Proportional to 5,701.80, 8,541.54 and 5,082.60

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Solution

The fourth proportional to 5,701.80, 8,541.54 and 5,082.60 is: 7,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.80 : 8,541.54 = 5,082.60 : x
  2. Step 2: Convert to fraction form
    5,701.80/8,541.54 = 5,082.60/x
  3. Step 3: Cross multiply
    5,701.80x = 8,541.54 × 5,082.60
  4. Step 4: Simplify right side
    5,701.80x = 43,413,231.20
  5. Step 5: Solve for x
    x = 43,413,231.20/5,701.80
  6. Step 6: Final answer
    x = 7,613.95

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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.