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Finding the Fourth Proportional to 4,311.62, 6,466.08 and 2,858.48

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Solution

The fourth proportional to 4,311.62, 6,466.08 and 2,858.48 is: 4,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.62 : 6,466.08 = 2,858.48 : x
  2. Step 2: Convert to fraction form
    4,311.62/6,466.08 = 2,858.48/x
  3. Step 3: Cross multiply
    4,311.62x = 6,466.08 × 2,858.48
  4. Step 4: Simplify right side
    4,311.62x = 18,483,160.36
  5. Step 5: Solve for x
    x = 18,483,160.36/4,311.62
  6. Step 6: Final answer
    x = 4,286.82

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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.