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Finding the Fourth Proportional to 5,856.74, 8,082.40 and 3,204.40

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Solution

The fourth proportional to 5,856.74, 8,082.40 and 3,204.40 is: 4,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.74 : 8,082.40 = 3,204.40 : x
  2. Step 2: Convert to fraction form
    5,856.74/8,082.40 = 3,204.40/x
  3. Step 3: Cross multiply
    5,856.74x = 8,082.40 × 3,204.40
  4. Step 4: Simplify right side
    5,856.74x = 25,899,242.56
  5. Step 5: Solve for x
    x = 25,899,242.56/5,856.74
  6. Step 6: Final answer
    x = 4,422.13

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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.