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Finding the Fourth Proportional to 4,564.68, 6,299.10 and 2,799.24

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Solution

The fourth proportional to 4,564.68, 6,299.10 and 2,799.24 is: 3,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.68 : 6,299.10 = 2,799.24 : x
  2. Step 2: Convert to fraction form
    4,564.68/6,299.10 = 2,799.24/x
  3. Step 3: Cross multiply
    4,564.68x = 6,299.10 × 2,799.24
  4. Step 4: Simplify right side
    4,564.68x = 17,632,692.68
  5. Step 5: Solve for x
    x = 17,632,692.68/4,564.68
  6. Step 6: Final answer
    x = 3,862.85

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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.