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Finding the Fourth Proportional to 3,886.15, 5,825.37 and 1,544.78

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Solution

The fourth proportional to 3,886.15, 5,825.37 and 1,544.78 is: 2,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.15 : 5,825.37 = 1,544.78 : x
  2. Step 2: Convert to fraction form
    3,886.15/5,825.37 = 1,544.78/x
  3. Step 3: Cross multiply
    3,886.15x = 5,825.37 × 1,544.78
  4. Step 4: Simplify right side
    3,886.15x = 8,998,915.07
  5. Step 5: Solve for x
    x = 8,998,915.07/3,886.15
  6. Step 6: Final answer
    x = 2,315.64

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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.