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Finding the Fourth Proportional to 3,948.36, 5,453.52 and 3,476.64

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Solution

The fourth proportional to 3,948.36, 5,453.52 and 3,476.64 is: 4,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.36 : 5,453.52 = 3,476.64 : x
  2. Step 2: Convert to fraction form
    3,948.36/5,453.52 = 3,476.64/x
  3. Step 3: Cross multiply
    3,948.36x = 5,453.52 × 3,476.64
  4. Step 4: Simplify right side
    3,948.36x = 18,959,925.77
  5. Step 5: Solve for x
    x = 18,959,925.77/3,948.36
  6. Step 6: Final answer
    x = 4,801.97

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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.