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Finding the Fourth Proportional to 3,837.16, 5,750.88 and 1,754.38

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Solution

The fourth proportional to 3,837.16, 5,750.88 and 1,754.38 is: 2,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.16 : 5,750.88 = 1,754.38 : x
  2. Step 2: Convert to fraction form
    3,837.16/5,750.88 = 1,754.38/x
  3. Step 3: Cross multiply
    3,837.16x = 5,750.88 × 1,754.38
  4. Step 4: Simplify right side
    3,837.16x = 10,089,228.85
  5. Step 5: Solve for x
    x = 10,089,228.85/3,837.16
  6. Step 6: Final answer
    x = 2,629.35

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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.