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Finding the Fourth Proportional to 3,835.34, 5,750.08 and 1,753.90

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Solution

The fourth proportional to 3,835.34, 5,750.08 and 1,753.90 is: 2,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.34 : 5,750.08 = 1,753.90 : x
  2. Step 2: Convert to fraction form
    3,835.34/5,750.08 = 1,753.90/x
  3. Step 3: Cross multiply
    3,835.34x = 5,750.08 × 1,753.90
  4. Step 4: Simplify right side
    3,835.34x = 10,085,065.31
  5. Step 5: Solve for x
    x = 10,085,065.31/3,835.34
  6. Step 6: Final answer
    x = 2,629.51

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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.