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Finding the Fourth Proportional to 3,283, 4,925.24 and 1,093.32

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Solution

The fourth proportional to 3,283, 4,925.24 and 1,093.32 is: 1,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283 : 4,925.24 = 1,093.32 : x
  2. Step 2: Convert to fraction form
    3,283/4,925.24 = 1,093.32/x
  3. Step 3: Cross multiply
    3,283x = 4,925.24 × 1,093.32
  4. Step 4: Simplify right side
    3,283x = 5,384,863.40
  5. Step 5: Solve for x
    x = 5,384,863.40/3,283
  6. Step 6: Final answer
    x = 1,640.23

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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.