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Finding the Fourth Proportional to 4,564.54, 6,299.05 and 2,575.09

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Solution

The fourth proportional to 4,564.54, 6,299.05 and 2,575.09 is: 3,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.54 : 6,299.05 = 2,575.09 : x
  2. Step 2: Convert to fraction form
    4,564.54/6,299.05 = 2,575.09/x
  3. Step 3: Cross multiply
    4,564.54x = 6,299.05 × 2,575.09
  4. Step 4: Simplify right side
    4,564.54x = 16,220,620.66
  5. Step 5: Solve for x
    x = 16,220,620.66/4,564.54
  6. Step 6: Final answer
    x = 3,553.62

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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.