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Finding the Fourth Proportional to 4,564.77, 6,299.28 and 2,575.28

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Solution

The fourth proportional to 4,564.77, 6,299.28 and 2,575.28 is: 3,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.77 : 6,299.28 = 2,575.28 : x
  2. Step 2: Convert to fraction form
    4,564.77/6,299.28 = 2,575.28/x
  3. Step 3: Cross multiply
    4,564.77x = 6,299.28 × 2,575.28
  4. Step 4: Simplify right side
    4,564.77x = 16,222,409.80
  5. Step 5: Solve for x
    x = 16,222,409.80/4,564.77
  6. Step 6: Final answer
    x = 3,553.83

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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.