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Finding the Fourth Proportional to 4,409.68, 6,085.92 and 2,546.68

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Solution

The fourth proportional to 4,409.68, 6,085.92 and 2,546.68 is: 3,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.68 : 6,085.92 = 2,546.68 : x
  2. Step 2: Convert to fraction form
    4,409.68/6,085.92 = 2,546.68/x
  3. Step 3: Cross multiply
    4,409.68x = 6,085.92 × 2,546.68
  4. Step 4: Simplify right side
    4,409.68x = 15,498,890.75
  5. Step 5: Solve for x
    x = 15,498,890.75/4,409.68
  6. Step 6: Final answer
    x = 3,514.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.