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Finding the Fourth Proportional to 4,562.63, 6,296.42 and 2,466.75

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Solution

The fourth proportional to 4,562.63, 6,296.42 and 2,466.75 is: 3,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.63 : 6,296.42 = 2,466.75 : x
  2. Step 2: Convert to fraction form
    4,562.63/6,296.42 = 2,466.75/x
  3. Step 3: Cross multiply
    4,562.63x = 6,296.42 × 2,466.75
  4. Step 4: Simplify right side
    4,562.63x = 15,531,694.04
  5. Step 5: Solve for x
    x = 15,531,694.04/4,562.63
  6. Step 6: Final answer
    x = 3,404.11

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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.