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Finding the Fourth Proportional to 4,468.58, 6,682.75 and 3,414.71

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Solution

The fourth proportional to 4,468.58, 6,682.75 and 3,414.71 is: 5,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.58 : 6,682.75 = 3,414.71 : x
  2. Step 2: Convert to fraction form
    4,468.58/6,682.75 = 3,414.71/x
  3. Step 3: Cross multiply
    4,468.58x = 6,682.75 × 3,414.71
  4. Step 4: Simplify right side
    4,468.58x = 22,819,661.42
  5. Step 5: Solve for x
    x = 22,819,661.42/4,468.58
  6. Step 6: Final answer
    x = 5,106.69

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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.