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Finding the Fourth Proportional to 3,773.46, 5,661.40 and 1,695.26

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Solution

The fourth proportional to 3,773.46, 5,661.40 and 1,695.26 is: 2,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.46 : 5,661.40 = 1,695.26 : x
  2. Step 2: Convert to fraction form
    3,773.46/5,661.40 = 1,695.26/x
  3. Step 3: Cross multiply
    3,773.46x = 5,661.40 × 1,695.26
  4. Step 4: Simplify right side
    3,773.46x = 9,597,544.96
  5. Step 5: Solve for x
    x = 9,597,544.96/3,773.46
  6. Step 6: Final answer
    x = 2,543.43

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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.