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Finding the Fourth Proportional to 3,701.58, 5,554.46 and 1,361.28

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Solution

The fourth proportional to 3,701.58, 5,554.46 and 1,361.28 is: 2,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.58 : 5,554.46 = 1,361.28 : x
  2. Step 2: Convert to fraction form
    3,701.58/5,554.46 = 1,361.28/x
  3. Step 3: Cross multiply
    3,701.58x = 5,554.46 × 1,361.28
  4. Step 4: Simplify right side
    3,701.58x = 7,561,168.50
  5. Step 5: Solve for x
    x = 7,561,168.50/3,701.58
  6. Step 6: Final answer
    x = 2,042.69

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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.