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Finding the Fourth Proportional to 3,761.40, 5,642.82 and 1,164.36

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Solution

The fourth proportional to 3,761.40, 5,642.82 and 1,164.36 is: 1,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.40 : 5,642.82 = 1,164.36 : x
  2. Step 2: Convert to fraction form
    3,761.40/5,642.82 = 1,164.36/x
  3. Step 3: Cross multiply
    3,761.40x = 5,642.82 × 1,164.36
  4. Step 4: Simplify right side
    3,761.40x = 6,570,273.90
  5. Step 5: Solve for x
    x = 6,570,273.90/3,761.40
  6. Step 6: Final answer
    x = 1,746.76

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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.