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Finding the Fourth Proportional to 3,728.90, 5,146 and 2,050.37

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Solution

The fourth proportional to 3,728.90, 5,146 and 2,050.37 is: 2,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.90 : 5,146 = 2,050.37 : x
  2. Step 2: Convert to fraction form
    3,728.90/5,146 = 2,050.37/x
  3. Step 3: Cross multiply
    3,728.90x = 5,146 × 2,050.37
  4. Step 4: Simplify right side
    3,728.90x = 10,551,204.02
  5. Step 5: Solve for x
    x = 10,551,204.02/3,728.90
  6. Step 6: Final answer
    x = 2,829.58

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Why These Related Problems?

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