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Finding the Fourth Proportional to 3,554.60, 5,327.10 and 1,361.16

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Solution

The fourth proportional to 3,554.60, 5,327.10 and 1,361.16 is: 2,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.60 : 5,327.10 = 1,361.16 : x
  2. Step 2: Convert to fraction form
    3,554.60/5,327.10 = 1,361.16/x
  3. Step 3: Cross multiply
    3,554.60x = 5,327.10 × 1,361.16
  4. Step 4: Simplify right side
    3,554.60x = 7,251,035.44
  5. Step 5: Solve for x
    x = 7,251,035.44/3,554.60
  6. Step 6: Final answer
    x = 2,039.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.