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Finding the Fourth Proportional to 4,052.39, 6,076.14 and 1,584.26

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Solution

The fourth proportional to 4,052.39, 6,076.14 and 1,584.26 is: 2,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.39 : 6,076.14 = 1,584.26 : x
  2. Step 2: Convert to fraction form
    4,052.39/6,076.14 = 1,584.26/x
  3. Step 3: Cross multiply
    4,052.39x = 6,076.14 × 1,584.26
  4. Step 4: Simplify right side
    4,052.39x = 9,626,200.75
  5. Step 5: Solve for x
    x = 9,626,200.75/4,052.39
  6. Step 6: Final answer
    x = 2,375.44

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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.