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Finding the Fourth Proportional to 4,566, 6,299.64 and 2,796.72

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Solution

The fourth proportional to 4,566, 6,299.64 and 2,796.72 is: 3,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 6,299.64 = 2,796.72 : x
  2. Step 2: Convert to fraction form
    4,566/6,299.64 = 2,796.72/x
  3. Step 3: Cross multiply
    4,566x = 6,299.64 × 2,796.72
  4. Step 4: Simplify right side
    4,566x = 17,618,329.18
  5. Step 5: Solve for x
    x = 17,618,329.18/4,566
  6. Step 6: Final answer
    x = 3,858.59

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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.