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Finding the Fourth Proportional to 3,761.58, 5,643.70 and 1,683.06

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Solution

The fourth proportional to 3,761.58, 5,643.70 and 1,683.06 is: 2,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.58 : 5,643.70 = 1,683.06 : x
  2. Step 2: Convert to fraction form
    3,761.58/5,643.70 = 1,683.06/x
  3. Step 3: Cross multiply
    3,761.58x = 5,643.70 × 1,683.06
  4. Step 4: Simplify right side
    3,761.58x = 9,498,685.72
  5. Step 5: Solve for x
    x = 9,498,685.72/3,761.58
  6. Step 6: Final answer
    x = 2,525.19

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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.