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Finding the Fourth Proportional to 4,361.88, 6,544.57 and 1,588.75

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Solution

The fourth proportional to 4,361.88, 6,544.57 and 1,588.75 is: 2,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.88 : 6,544.57 = 1,588.75 : x
  2. Step 2: Convert to fraction form
    4,361.88/6,544.57 = 1,588.75/x
  3. Step 3: Cross multiply
    4,361.88x = 6,544.57 × 1,588.75
  4. Step 4: Simplify right side
    4,361.88x = 10,397,665.25
  5. Step 5: Solve for x
    x = 10,397,665.25/4,361.88
  6. Step 6: Final answer
    x = 2,383.76

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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.