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Finding the Fourth Proportional to 4,564.69, 6,299.30 and 2,797.47

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Solution

The fourth proportional to 4,564.69, 6,299.30 and 2,797.47 is: 3,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.69 : 6,299.30 = 2,797.47 : x
  2. Step 2: Convert to fraction form
    4,564.69/6,299.30 = 2,797.47/x
  3. Step 3: Cross multiply
    4,564.69x = 6,299.30 × 2,797.47
  4. Step 4: Simplify right side
    4,564.69x = 17,622,109.76
  5. Step 5: Solve for x
    x = 17,622,109.76/4,564.69
  6. Step 6: Final answer
    x = 3,860.53

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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.