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Finding the Fourth Proportional to 2,795.25, 3,857.49 and 1,536.30

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Solution

The fourth proportional to 2,795.25, 3,857.49 and 1,536.30 is: 2,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.25 : 3,857.49 = 1,536.30 : x
  2. Step 2: Convert to fraction form
    2,795.25/3,857.49 = 1,536.30/x
  3. Step 3: Cross multiply
    2,795.25x = 3,857.49 × 1,536.30
  4. Step 4: Simplify right side
    2,795.25x = 5,926,261.89
  5. Step 5: Solve for x
    x = 5,926,261.89/2,795.25
  6. Step 6: Final answer
    x = 2,120.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.