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Finding the Fourth Proportional to 3,797.15, 5,695.89 and 1,164.46

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Solution

The fourth proportional to 3,797.15, 5,695.89 and 1,164.46 is: 1,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.15 : 5,695.89 = 1,164.46 : x
  2. Step 2: Convert to fraction form
    3,797.15/5,695.89 = 1,164.46/x
  3. Step 3: Cross multiply
    3,797.15x = 5,695.89 × 1,164.46
  4. Step 4: Simplify right side
    3,797.15x = 6,632,621.83
  5. Step 5: Solve for x
    x = 6,632,621.83/3,797.15
  6. Step 6: Final answer
    x = 1,746.74

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