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Finding the Fourth Proportional to 2,546.49, 3,813.80 and 2,476.42

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Solution

The fourth proportional to 2,546.49, 3,813.80 and 2,476.42 is: 3,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.49 : 3,813.80 = 2,476.42 : x
  2. Step 2: Convert to fraction form
    2,546.49/3,813.80 = 2,476.42/x
  3. Step 3: Cross multiply
    2,546.49x = 3,813.80 × 2,476.42
  4. Step 4: Simplify right side
    2,546.49x = 9,444,551.53
  5. Step 5: Solve for x
    x = 9,444,551.53/2,546.49
  6. Step 6: Final answer
    x = 3,708.86

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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.