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Finding the Fourth Proportional to 4,639.62, 6,408.81 and 3,458.64

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Solution

The fourth proportional to 4,639.62, 6,408.81 and 3,458.64 is: 4,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.62 : 6,408.81 = 3,458.64 : x
  2. Step 2: Convert to fraction form
    4,639.62/6,408.81 = 3,458.64/x
  3. Step 3: Cross multiply
    4,639.62x = 6,408.81 × 3,458.64
  4. Step 4: Simplify right side
    4,639.62x = 22,165,766.62
  5. Step 5: Solve for x
    x = 22,165,766.62/4,639.62
  6. Step 6: Final answer
    x = 4,777.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.