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Finding the Fourth Proportional to 4,689.69, 6,472.86 and 3,096.60

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Solution

The fourth proportional to 4,689.69, 6,472.86 and 3,096.60 is: 4,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.69 : 6,472.86 = 3,096.60 : x
  2. Step 2: Convert to fraction form
    4,689.69/6,472.86 = 3,096.60/x
  3. Step 3: Cross multiply
    4,689.69x = 6,472.86 × 3,096.60
  4. Step 4: Simplify right side
    4,689.69x = 20,043,858.28
  5. Step 5: Solve for x
    x = 20,043,858.28/4,689.69
  6. Step 6: Final answer
    x = 4,274.03

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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.