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Finding the Fourth Proportional to 4,508.19, 6,762.29 and 3,782.43

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Solution

The fourth proportional to 4,508.19, 6,762.29 and 3,782.43 is: 5,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.19 : 6,762.29 = 3,782.43 : x
  2. Step 2: Convert to fraction form
    4,508.19/6,762.29 = 3,782.43/x
  3. Step 3: Cross multiply
    4,508.19x = 6,762.29 × 3,782.43
  4. Step 4: Simplify right side
    4,508.19x = 25,577,869.65
  5. Step 5: Solve for x
    x = 25,577,869.65/4,508.19
  6. Step 6: Final answer
    x = 5,673.65

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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.