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Finding the Fourth Proportional to 6,082.48, 8,393.80 and 3,429.86

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Solution

The fourth proportional to 6,082.48, 8,393.80 and 3,429.86 is: 4,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.48 : 8,393.80 = 3,429.86 : x
  2. Step 2: Convert to fraction form
    6,082.48/8,393.80 = 3,429.86/x
  3. Step 3: Cross multiply
    6,082.48x = 8,393.80 × 3,429.86
  4. Step 4: Simplify right side
    6,082.48x = 28,789,607.03
  5. Step 5: Solve for x
    x = 28,789,607.03/6,082.48
  6. Step 6: Final answer
    x = 4,733.21

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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.