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Finding the Fourth Proportional to 4,029.50, 6,047.50 and 2,082.26

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Solution

The fourth proportional to 4,029.50, 6,047.50 and 2,082.26 is: 3,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.50 : 6,047.50 = 2,082.26 : x
  2. Step 2: Convert to fraction form
    4,029.50/6,047.50 = 2,082.26/x
  3. Step 3: Cross multiply
    4,029.50x = 6,047.50 × 2,082.26
  4. Step 4: Simplify right side
    4,029.50x = 12,592,467.35
  5. Step 5: Solve for x
    x = 12,592,467.35/4,029.50
  6. Step 6: Final answer
    x = 3,125.07

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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.