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Finding the Fourth Proportional to 4,357.69, 6,012.28 and 2,468.97

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Solution

The fourth proportional to 4,357.69, 6,012.28 and 2,468.97 is: 3,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.69 : 6,012.28 = 2,468.97 : x
  2. Step 2: Convert to fraction form
    4,357.69/6,012.28 = 2,468.97/x
  3. Step 3: Cross multiply
    4,357.69x = 6,012.28 × 2,468.97
  4. Step 4: Simplify right side
    4,357.69x = 14,844,096.55
  5. Step 5: Solve for x
    x = 14,844,096.55/4,357.69
  6. Step 6: Final answer
    x = 3,406.42

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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.