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Finding the Fourth Proportional to 4,407.92, 6,084.28 and 2,546.16

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Solution

The fourth proportional to 4,407.92, 6,084.28 and 2,546.16 is: 3,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.92 : 6,084.28 = 2,546.16 : x
  2. Step 2: Convert to fraction form
    4,407.92/6,084.28 = 2,546.16/x
  3. Step 3: Cross multiply
    4,407.92x = 6,084.28 × 2,546.16
  4. Step 4: Simplify right side
    4,407.92x = 15,491,550.36
  5. Step 5: Solve for x
    x = 15,491,550.36/4,407.92
  6. Step 6: Final answer
    x = 3,514.48

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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.