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Finding the Fourth Proportional to 5,856.80, 8,082.04 and 3,203.68

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Solution

The fourth proportional to 5,856.80, 8,082.04 and 3,203.68 is: 4,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.80 : 8,082.04 = 3,203.68 : x
  2. Step 2: Convert to fraction form
    5,856.80/8,082.04 = 3,203.68/x
  3. Step 3: Cross multiply
    5,856.80x = 8,082.04 × 3,203.68
  4. Step 4: Simplify right side
    5,856.80x = 25,892,269.91
  5. Step 5: Solve for x
    x = 25,892,269.91/5,856.80
  6. Step 6: Final answer
    x = 4,420.89

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1.5x scale

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.