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Finding the Fourth Proportional to 3,782.02, 5,674.56 and 1,700.62

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Solution

The fourth proportional to 3,782.02, 5,674.56 and 1,700.62 is: 2,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.02 : 5,674.56 = 1,700.62 : x
  2. Step 2: Convert to fraction form
    3,782.02/5,674.56 = 1,700.62/x
  3. Step 3: Cross multiply
    3,782.02x = 5,674.56 × 1,700.62
  4. Step 4: Simplify right side
    3,782.02x = 9,650,270.23
  5. Step 5: Solve for x
    x = 9,650,270.23/3,782.02
  6. Step 6: Final answer
    x = 2,551.62

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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.