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Finding the Fourth Proportional to 3,731.64, 5,137.40 and 3,232.68

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Solution

The fourth proportional to 3,731.64, 5,137.40 and 3,232.68 is: 4,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.64 : 5,137.40 = 3,232.68 : x
  2. Step 2: Convert to fraction form
    3,731.64/5,137.40 = 3,232.68/x
  3. Step 3: Cross multiply
    3,731.64x = 5,137.40 × 3,232.68
  4. Step 4: Simplify right side
    3,731.64x = 16,607,570.23
  5. Step 5: Solve for x
    x = 16,607,570.23/3,731.64
  6. Step 6: Final answer
    x = 4,450.47

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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.