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Finding the Fourth Proportional to 2,878.56, 3,987.45 and 2,820.24

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Solution

The fourth proportional to 2,878.56, 3,987.45 and 2,820.24 is: 3,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.56 : 3,987.45 = 2,820.24 : x
  2. Step 2: Convert to fraction form
    2,878.56/3,987.45 = 2,820.24/x
  3. Step 3: Cross multiply
    2,878.56x = 3,987.45 × 2,820.24
  4. Step 4: Simplify right side
    2,878.56x = 11,245,565.99
  5. Step 5: Solve for x
    x = 11,245,565.99/2,878.56
  6. Step 6: Final answer
    x = 3,906.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.