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Finding the Fourth Proportional to 3,172.53, 4,378.81 and 1,846.43

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Solution

The fourth proportional to 3,172.53, 4,378.81 and 1,846.43 is: 2,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.53 : 4,378.81 = 1,846.43 : x
  2. Step 2: Convert to fraction form
    3,172.53/4,378.81 = 1,846.43/x
  3. Step 3: Cross multiply
    3,172.53x = 4,378.81 × 1,846.43
  4. Step 4: Simplify right side
    3,172.53x = 8,085,159.52
  5. Step 5: Solve for x
    x = 8,085,159.52/3,172.53
  6. Step 6: Final answer
    x = 2,548.49

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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.