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Finding the Fourth Proportional to 3,185.47, 4,768.48 and 2,361.70

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Solution

The fourth proportional to 3,185.47, 4,768.48 and 2,361.70 is: 3,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.47 : 4,768.48 = 2,361.70 : x
  2. Step 2: Convert to fraction form
    3,185.47/4,768.48 = 2,361.70/x
  3. Step 3: Cross multiply
    3,185.47x = 4,768.48 × 2,361.70
  4. Step 4: Simplify right side
    3,185.47x = 11,261,719.22
  5. Step 5: Solve for x
    x = 11,261,719.22/3,185.47
  6. Step 6: Final answer
    x = 3,535.34

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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.