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Finding the Fourth Proportional to 3,701.68, 5,549.22 and 1,361.14

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Solution

The fourth proportional to 3,701.68, 5,549.22 and 1,361.14 is: 2,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.68 : 5,549.22 = 1,361.14 : x
  2. Step 2: Convert to fraction form
    3,701.68/5,549.22 = 1,361.14/x
  3. Step 3: Cross multiply
    3,701.68x = 5,549.22 × 1,361.14
  4. Step 4: Simplify right side
    3,701.68x = 7,553,265.31
  5. Step 5: Solve for x
    x = 7,553,265.31/3,701.68
  6. Step 6: Final answer
    x = 2,040.50

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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.