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Finding the Fourth Proportional to 3,757.63, 5,637.21 and 1,125.20

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Solution

The fourth proportional to 3,757.63, 5,637.21 and 1,125.20 is: 1,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.63 : 5,637.21 = 1,125.20 : x
  2. Step 2: Convert to fraction form
    3,757.63/5,637.21 = 1,125.20/x
  3. Step 3: Cross multiply
    3,757.63x = 5,637.21 × 1,125.20
  4. Step 4: Simplify right side
    3,757.63x = 6,342,988.69
  5. Step 5: Solve for x
    x = 6,342,988.69/3,757.63
  6. Step 6: Final answer
    x = 1,688.03

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