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Finding the Fourth Proportional to 3,761.44, 5,643.07 and 1,164.38

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Solution

The fourth proportional to 3,761.44, 5,643.07 and 1,164.38 is: 1,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.44 : 5,643.07 = 1,164.38 : x
  2. Step 2: Convert to fraction form
    3,761.44/5,643.07 = 1,164.38/x
  3. Step 3: Cross multiply
    3,761.44x = 5,643.07 × 1,164.38
  4. Step 4: Simplify right side
    3,761.44x = 6,570,646.72
  5. Step 5: Solve for x
    x = 6,570,646.72/3,761.44
  6. Step 6: Final answer
    x = 1,746.84

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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.