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Finding the Fourth Proportional to 3,762.04, 5,642.79 and 1,682.23

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Solution

The fourth proportional to 3,762.04, 5,642.79 and 1,682.23 is: 2,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.04 : 5,642.79 = 1,682.23 : x
  2. Step 2: Convert to fraction form
    3,762.04/5,642.79 = 1,682.23/x
  3. Step 3: Cross multiply
    3,762.04x = 5,642.79 × 1,682.23
  4. Step 4: Simplify right side
    3,762.04x = 9,492,470.62
  5. Step 5: Solve for x
    x = 9,492,470.62/3,762.04
  6. Step 6: Final answer
    x = 2,523.22

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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.