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Finding the Fourth Proportional to 5,298.96, 7,951.20 and 2,666.88

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Solution

The fourth proportional to 5,298.96, 7,951.20 and 2,666.88 is: 4,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.96 : 7,951.20 = 2,666.88 : x
  2. Step 2: Convert to fraction form
    5,298.96/7,951.20 = 2,666.88/x
  3. Step 3: Cross multiply
    5,298.96x = 7,951.20 × 2,666.88
  4. Step 4: Simplify right side
    5,298.96x = 21,204,896.26
  5. Step 5: Solve for x
    x = 21,204,896.26/5,298.96
  6. Step 6: Final answer
    x = 4,001.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.