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Finding the Fourth Proportional to 3,782.19, 5,670.49 and 1,806.20

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Solution

The fourth proportional to 3,782.19, 5,670.49 and 1,806.20 is: 2,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.19 : 5,670.49 = 1,806.20 : x
  2. Step 2: Convert to fraction form
    3,782.19/5,670.49 = 1,806.20/x
  3. Step 3: Cross multiply
    3,782.19x = 5,670.49 × 1,806.20
  4. Step 4: Simplify right side
    3,782.19x = 10,242,038.44
  5. Step 5: Solve for x
    x = 10,242,038.44/3,782.19
  6. Step 6: Final answer
    x = 2,707.96

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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.