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Finding the Fourth Proportional to 3,837.51, 5,751.54 and 1,754.55

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Solution

The fourth proportional to 3,837.51, 5,751.54 and 1,754.55 is: 2,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.51 : 5,751.54 = 1,754.55 : x
  2. Step 2: Convert to fraction form
    3,837.51/5,751.54 = 1,754.55/x
  3. Step 3: Cross multiply
    3,837.51x = 5,751.54 × 1,754.55
  4. Step 4: Simplify right side
    3,837.51x = 10,091,364.51
  5. Step 5: Solve for x
    x = 10,091,364.51/3,837.51
  6. Step 6: Final answer
    x = 2,629.66

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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.