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Finding the Fourth Proportional to 3,728.90, 5,145.91 and 2,050.29

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Solution

The fourth proportional to 3,728.90, 5,145.91 and 2,050.29 is: 2,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.90 : 5,145.91 = 2,050.29 : x
  2. Step 2: Convert to fraction form
    3,728.90/5,145.91 = 2,050.29/x
  3. Step 3: Cross multiply
    3,728.90x = 5,145.91 × 2,050.29
  4. Step 4: Simplify right side
    3,728.90x = 10,550,602.69
  5. Step 5: Solve for x
    x = 10,550,602.69/3,728.90
  6. Step 6: Final answer
    x = 2,829.41

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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.