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Finding the Fourth Proportional to 3,763.17, 5,645.46 and 1,683.26

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Solution

The fourth proportional to 3,763.17, 5,645.46 and 1,683.26 is: 2,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.17 : 5,645.46 = 1,683.26 : x
  2. Step 2: Convert to fraction form
    3,763.17/5,645.46 = 1,683.26/x
  3. Step 3: Cross multiply
    3,763.17x = 5,645.46 × 1,683.26
  4. Step 4: Simplify right side
    3,763.17x = 9,502,777.00
  5. Step 5: Solve for x
    x = 9,502,777.00/3,763.17
  6. Step 6: Final answer
    x = 2,525.21

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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.