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Finding the Fourth Proportional to 3,891.85, 5,836.86 and 1,118.00

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Solution

The fourth proportional to 3,891.85, 5,836.86 and 1,118.00 is: 1,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.85 : 5,836.86 = 1,118.00 : x
  2. Step 2: Convert to fraction form
    3,891.85/5,836.86 = 1,118.00/x
  3. Step 3: Cross multiply
    3,891.85x = 5,836.86 × 1,118.00
  4. Step 4: Simplify right side
    3,891.85x = 6,525,624.07
  5. Step 5: Solve for x
    x = 6,525,624.07/3,891.85
  6. Step 6: Final answer
    x = 1,676.74

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Why These Related Problems?

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