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Finding the Fourth Proportional to 3,954.58, 5,454.21 and 3,689.62

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Solution

The fourth proportional to 3,954.58, 5,454.21 and 3,689.62 is: 5,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.58 : 5,454.21 = 3,689.62 : x
  2. Step 2: Convert to fraction form
    3,954.58/5,454.21 = 3,689.62/x
  3. Step 3: Cross multiply
    3,954.58x = 5,454.21 × 3,689.62
  4. Step 4: Simplify right side
    3,954.58x = 20,123,962.30
  5. Step 5: Solve for x
    x = 20,123,962.30/3,954.58
  6. Step 6: Final answer
    x = 5,088.77

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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.