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Finding the Fourth Proportional to 5,863.66, 8,091.48 and 3,505.84

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Solution

The fourth proportional to 5,863.66, 8,091.48 and 3,505.84 is: 4,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.66 : 8,091.48 = 3,505.84 : x
  2. Step 2: Convert to fraction form
    5,863.66/8,091.48 = 3,505.84/x
  3. Step 3: Cross multiply
    5,863.66x = 8,091.48 × 3,505.84
  4. Step 4: Simplify right side
    5,863.66x = 28,367,434.24
  5. Step 5: Solve for x
    x = 28,367,434.24/5,863.66
  6. Step 6: Final answer
    x = 4,837.84

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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.