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Finding the Fourth Proportional to 3,763.04, 5,644.29 and 1,683.23

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Solution

The fourth proportional to 3,763.04, 5,644.29 and 1,683.23 is: 2,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.04 : 5,644.29 = 1,683.23 : x
  2. Step 2: Convert to fraction form
    3,763.04/5,644.29 = 1,683.23/x
  3. Step 3: Cross multiply
    3,763.04x = 5,644.29 × 1,683.23
  4. Step 4: Simplify right side
    3,763.04x = 9,500,638.26
  5. Step 5: Solve for x
    x = 9,500,638.26/3,763.04
  6. Step 6: Final answer
    x = 2,524.72

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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.