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Finding the Fourth Proportional to 4,159.58, 5,735.09 and 2,584.94

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Solution

The fourth proportional to 4,159.58, 5,735.09 and 2,584.94 is: 3,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.58 : 5,735.09 = 2,584.94 : x
  2. Step 2: Convert to fraction form
    4,159.58/5,735.09 = 2,584.94/x
  3. Step 3: Cross multiply
    4,159.58x = 5,735.09 × 2,584.94
  4. Step 4: Simplify right side
    4,159.58x = 14,824,841.33
  5. Step 5: Solve for x
    x = 14,824,841.33/4,159.58
  6. Step 6: Final answer
    x = 3,564.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.