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Finding the Fourth Proportional to 3,728.90, 5,137.77 and 2,784.32

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Solution

The fourth proportional to 3,728.90, 5,137.77 and 2,784.32 is: 3,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.90 : 5,137.77 = 2,784.32 : x
  2. Step 2: Convert to fraction form
    3,728.90/5,137.77 = 2,784.32/x
  3. Step 3: Cross multiply
    3,728.90x = 5,137.77 × 2,784.32
  4. Step 4: Simplify right side
    3,728.90x = 14,305,195.77
  5. Step 5: Solve for x
    x = 14,305,195.77/3,728.90
  6. Step 6: Final answer
    x = 3,836.30

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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.