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Finding the Fourth Proportional to 3,196.38, 4,792.71 and 1,464.06

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Solution

The fourth proportional to 3,196.38, 4,792.71 and 1,464.06 is: 2,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.38 : 4,792.71 = 1,464.06 : x
  2. Step 2: Convert to fraction form
    3,196.38/4,792.71 = 1,464.06/x
  3. Step 3: Cross multiply
    3,196.38x = 4,792.71 × 1,464.06
  4. Step 4: Simplify right side
    3,196.38x = 7,016,815.00
  5. Step 5: Solve for x
    x = 7,016,815.00/3,196.38
  6. Step 6: Final answer
    x = 2,195.24

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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.