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Finding the Fourth Proportional to 3,546.94, 5,291.40 and 3,295.23

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Solution

The fourth proportional to 3,546.94, 5,291.40 and 3,295.23 is: 4,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.94 : 5,291.40 = 3,295.23 : x
  2. Step 2: Convert to fraction form
    3,546.94/5,291.40 = 3,295.23/x
  3. Step 3: Cross multiply
    3,546.94x = 5,291.40 × 3,295.23
  4. Step 4: Simplify right side
    3,546.94x = 17,436,393.03
  5. Step 5: Solve for x
    x = 17,436,393.03/3,546.94
  6. Step 6: Final answer
    x = 4,915.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.