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Finding the Fourth Proportional to 4,409.25, 6,084.77 and 2,546.25

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Solution

The fourth proportional to 4,409.25, 6,084.77 and 2,546.25 is: 3,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.25 : 6,084.77 = 2,546.25 : x
  2. Step 2: Convert to fraction form
    4,409.25/6,084.77 = 2,546.25/x
  3. Step 3: Cross multiply
    4,409.25x = 6,084.77 × 2,546.25
  4. Step 4: Simplify right side
    4,409.25x = 15,493,345.61
  5. Step 5: Solve for x
    x = 15,493,345.61/4,409.25
  6. Step 6: Final answer
    x = 3,513.83

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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.