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Finding the Fourth Proportional to 4,592.77, 6,338.21 and 2,824.96

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Solution

The fourth proportional to 4,592.77, 6,338.21 and 2,824.96 is: 3,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.77 : 6,338.21 = 2,824.96 : x
  2. Step 2: Convert to fraction form
    4,592.77/6,338.21 = 2,824.96/x
  3. Step 3: Cross multiply
    4,592.77x = 6,338.21 × 2,824.96
  4. Step 4: Simplify right side
    4,592.77x = 17,905,189.72
  5. Step 5: Solve for x
    x = 17,905,189.72/4,592.77
  6. Step 6: Final answer
    x = 3,898.56

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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.