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Finding the Fourth Proportional to 3,782.45, 5,673.03 and 2,683.47

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Solution

The fourth proportional to 3,782.45, 5,673.03 and 2,683.47 is: 4,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.45 : 5,673.03 = 2,683.47 : x
  2. Step 2: Convert to fraction form
    3,782.45/5,673.03 = 2,683.47/x
  3. Step 3: Cross multiply
    3,782.45x = 5,673.03 × 2,683.47
  4. Step 4: Simplify right side
    3,782.45x = 15,223,405.81
  5. Step 5: Solve for x
    x = 15,223,405.81/3,782.45
  6. Step 6: Final answer
    x = 4,024.75

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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.