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Finding the Fourth Proportional to 3,760.58, 5,642.20 and 1,682.06

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Solution

The fourth proportional to 3,760.58, 5,642.20 and 1,682.06 is: 2,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.58 : 5,642.20 = 1,682.06 : x
  2. Step 2: Convert to fraction form
    3,760.58/5,642.20 = 1,682.06/x
  3. Step 3: Cross multiply
    3,760.58x = 5,642.20 × 1,682.06
  4. Step 4: Simplify right side
    3,760.58x = 9,490,518.93
  5. Step 5: Solve for x
    x = 9,490,518.93/3,760.58
  6. Step 6: Final answer
    x = 2,523.68

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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.