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Finding the Fourth Proportional to 3,757.81, 5,637.51 and 1,125.28

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Solution

The fourth proportional to 3,757.81, 5,637.51 and 1,125.28 is: 1,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.81 : 5,637.51 = 1,125.28 : x
  2. Step 2: Convert to fraction form
    3,757.81/5,637.51 = 1,125.28/x
  3. Step 3: Cross multiply
    3,757.81x = 5,637.51 × 1,125.28
  4. Step 4: Simplify right side
    3,757.81x = 6,343,777.25
  5. Step 5: Solve for x
    x = 6,343,777.25/3,757.81
  6. Step 6: Final answer
    x = 1,688.16

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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.