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Finding the Fourth Proportional to 3,761.64, 5,643.34 and 1,164.44

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Solution

The fourth proportional to 3,761.64, 5,643.34 and 1,164.44 is: 1,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.64 : 5,643.34 = 1,164.44 : x
  2. Step 2: Convert to fraction form
    3,761.64/5,643.34 = 1,164.44/x
  3. Step 3: Cross multiply
    3,761.64x = 5,643.34 × 1,164.44
  4. Step 4: Simplify right side
    3,761.64x = 6,571,330.83
  5. Step 5: Solve for x
    x = 6,571,330.83/3,761.64
  6. Step 6: Final answer
    x = 1,746.93

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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.