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Finding the Fourth Proportional to 3,797.58, 5,694.61 and 1,164.41

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Solution

The fourth proportional to 3,797.58, 5,694.61 and 1,164.41 is: 1,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.58 : 5,694.61 = 1,164.41 : x
  2. Step 2: Convert to fraction form
    3,797.58/5,694.61 = 1,164.41/x
  3. Step 3: Cross multiply
    3,797.58x = 5,694.61 × 1,164.41
  4. Step 4: Simplify right side
    3,797.58x = 6,630,887.20
  5. Step 5: Solve for x
    x = 6,630,887.20/3,797.58
  6. Step 6: Final answer
    x = 1,746.08

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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.