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Finding the Fourth Proportional to 4,465.74, 6,682.41 and 3,642.06

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Solution

The fourth proportional to 4,465.74, 6,682.41 and 3,642.06 is: 5,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.74 : 6,682.41 = 3,642.06 : x
  2. Step 2: Convert to fraction form
    4,465.74/6,682.41 = 3,642.06/x
  3. Step 3: Cross multiply
    4,465.74x = 6,682.41 × 3,642.06
  4. Step 4: Simplify right side
    4,465.74x = 24,337,738.16
  5. Step 5: Solve for x
    x = 24,337,738.16/4,465.74
  6. Step 6: Final answer
    x = 5,449.88

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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.