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Finding the Fourth Proportional to 3,211.25, 4,817.17 and 1,544.87

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Solution

The fourth proportional to 3,211.25, 4,817.17 and 1,544.87 is: 2,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.25 : 4,817.17 = 1,544.87 : x
  2. Step 2: Convert to fraction form
    3,211.25/4,817.17 = 1,544.87/x
  3. Step 3: Cross multiply
    3,211.25x = 4,817.17 × 1,544.87
  4. Step 4: Simplify right side
    3,211.25x = 7,441,915.39
  5. Step 5: Solve for x
    x = 7,441,915.39/3,211.25
  6. Step 6: Final answer
    x = 2,317.45

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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.