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Finding the Fourth Proportional to 3,005.75, 4,504.98 and 1,546.13

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Solution

The fourth proportional to 3,005.75, 4,504.98 and 1,546.13 is: 2,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.75 : 4,504.98 = 1,546.13 : x
  2. Step 2: Convert to fraction form
    3,005.75/4,504.98 = 1,546.13/x
  3. Step 3: Cross multiply
    3,005.75x = 4,504.98 × 1,546.13
  4. Step 4: Simplify right side
    3,005.75x = 6,965,284.73
  5. Step 5: Solve for x
    x = 6,965,284.73/3,005.75
  6. Step 6: Final answer
    x = 2,317.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.