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Finding the Fourth Proportional to 5,878.80, 8,116.54 and 3,643.05

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Solution

The fourth proportional to 5,878.80, 8,116.54 and 3,643.05 is: 5,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.80 : 8,116.54 = 3,643.05 : x
  2. Step 2: Convert to fraction form
    5,878.80/8,116.54 = 3,643.05/x
  3. Step 3: Cross multiply
    5,878.80x = 8,116.54 × 3,643.05
  4. Step 4: Simplify right side
    5,878.80x = 29,568,961.05
  5. Step 5: Solve for x
    x = 29,568,961.05/5,878.80
  6. Step 6: Final answer
    x = 5,029.76

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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.