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Finding the Fourth Proportional to 3,837.51, 5,756.26 and 1,205.22

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Solution

The fourth proportional to 3,837.51, 5,756.26 and 1,205.22 is: 1,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.51 : 5,756.26 = 1,205.22 : x
  2. Step 2: Convert to fraction form
    3,837.51/5,756.26 = 1,205.22/x
  3. Step 3: Cross multiply
    3,837.51x = 5,756.26 × 1,205.22
  4. Step 4: Simplify right side
    3,837.51x = 6,937,561.18
  5. Step 5: Solve for x
    x = 6,937,561.18/3,837.51
  6. Step 6: Final answer
    x = 1,807.83

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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.