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Finding the Fourth Proportional to 3,813.72, 5,720.52 and 2,780.28

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Solution

The fourth proportional to 3,813.72, 5,720.52 and 2,780.28 is: 4,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.72 : 5,720.52 = 2,780.28 : x
  2. Step 2: Convert to fraction form
    3,813.72/5,720.52 = 2,780.28/x
  3. Step 3: Cross multiply
    3,813.72x = 5,720.52 × 2,780.28
  4. Step 4: Simplify right side
    3,813.72x = 15,904,647.35
  5. Step 5: Solve for x
    x = 15,904,647.35/3,813.72
  6. Step 6: Final answer
    x = 4,170.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.