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Finding the Fourth Proportional to 4,814.34, 7,209.92 and 2,468.16

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Solution

The fourth proportional to 4,814.34, 7,209.92 and 2,468.16 is: 3,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.34 : 7,209.92 = 2,468.16 : x
  2. Step 2: Convert to fraction form
    4,814.34/7,209.92 = 2,468.16/x
  3. Step 3: Cross multiply
    4,814.34x = 7,209.92 × 2,468.16
  4. Step 4: Simplify right side
    4,814.34x = 17,795,236.15
  5. Step 5: Solve for x
    x = 17,795,236.15/4,814.34
  6. Step 6: Final answer
    x = 3,696.30

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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.