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Finding the Fourth Proportional to 3,599.62, 4,969.15 and 2,538.25

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Solution

The fourth proportional to 3,599.62, 4,969.15 and 2,538.25 is: 3,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.62 : 4,969.15 = 2,538.25 : x
  2. Step 2: Convert to fraction form
    3,599.62/4,969.15 = 2,538.25/x
  3. Step 3: Cross multiply
    3,599.62x = 4,969.15 × 2,538.25
  4. Step 4: Simplify right side
    3,599.62x = 12,612,954.17
  5. Step 5: Solve for x
    x = 12,612,954.17/3,599.62
  6. Step 6: Final answer
    x = 3,503.97

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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.