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Finding the Fourth Proportional to 5,137.97, 7,700.56 and 2,361.69

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Solution

The fourth proportional to 5,137.97, 7,700.56 and 2,361.69 is: 3,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.97 : 7,700.56 = 2,361.69 : x
  2. Step 2: Convert to fraction form
    5,137.97/7,700.56 = 2,361.69/x
  3. Step 3: Cross multiply
    5,137.97x = 7,700.56 × 2,361.69
  4. Step 4: Simplify right side
    5,137.97x = 18,186,335.55
  5. Step 5: Solve for x
    x = 18,186,335.55/5,137.97
  6. Step 6: Final answer
    x = 3,539.60

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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.