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Finding the Fourth Proportional to 4,409.50, 6,085.41 and 2,546.50

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Solution

The fourth proportional to 4,409.50, 6,085.41 and 2,546.50 is: 3,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.50 : 6,085.41 = 2,546.50 : x
  2. Step 2: Convert to fraction form
    4,409.50/6,085.41 = 2,546.50/x
  3. Step 3: Cross multiply
    4,409.50x = 6,085.41 × 2,546.50
  4. Step 4: Simplify right side
    4,409.50x = 15,496,496.57
  5. Step 5: Solve for x
    x = 15,496,496.57/4,409.50
  6. Step 6: Final answer
    x = 3,514.34

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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.