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Finding the Fourth Proportional to 3,891.64, 5,836.60 and 1,117.69

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Solution

The fourth proportional to 3,891.64, 5,836.60 and 1,117.69 is: 1,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.64 : 5,836.60 = 1,117.69 : x
  2. Step 2: Convert to fraction form
    3,891.64/5,836.60 = 1,117.69/x
  3. Step 3: Cross multiply
    3,891.64x = 5,836.60 × 1,117.69
  4. Step 4: Simplify right side
    3,891.64x = 6,523,509.45
  5. Step 5: Solve for x
    x = 6,523,509.45/3,891.64
  6. Step 6: Final answer
    x = 1,676.29

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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.