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Finding the Fourth Proportional to 3,728.71, 5,145.67 and 2,050.18

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Solution

The fourth proportional to 3,728.71, 5,145.67 and 2,050.18 is: 2,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.71 : 5,145.67 = 2,050.18 : x
  2. Step 2: Convert to fraction form
    3,728.71/5,145.67 = 2,050.18/x
  3. Step 3: Cross multiply
    3,728.71x = 5,145.67 × 2,050.18
  4. Step 4: Simplify right side
    3,728.71x = 10,549,549.72
  5. Step 5: Solve for x
    x = 10,549,549.72/3,728.71
  6. Step 6: Final answer
    x = 2,829.28

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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.