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Finding the Fourth Proportional to 6,488.28, 8,954.50 and 3,693.96

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Solution

The fourth proportional to 6,488.28, 8,954.50 and 3,693.96 is: 5,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.28 : 8,954.50 = 3,693.96 : x
  2. Step 2: Convert to fraction form
    6,488.28/8,954.50 = 3,693.96/x
  3. Step 3: Cross multiply
    6,488.28x = 8,954.50 × 3,693.96
  4. Step 4: Simplify right side
    6,488.28x = 33,077,564.82
  5. Step 5: Solve for x
    x = 33,077,564.82/6,488.28
  6. Step 6: Final answer
    x = 5,098.05

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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.