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Finding the Fourth Proportional to 5,096.60, 7,644.90 and 4,221.80

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Solution

The fourth proportional to 5,096.60, 7,644.90 and 4,221.80 is: 6,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.60 : 7,644.90 = 4,221.80 : x
  2. Step 2: Convert to fraction form
    5,096.60/7,644.90 = 4,221.80/x
  3. Step 3: Cross multiply
    5,096.60x = 7,644.90 × 4,221.80
  4. Step 4: Simplify right side
    5,096.60x = 32,275,238.82
  5. Step 5: Solve for x
    x = 32,275,238.82/5,096.60
  6. Step 6: Final answer
    x = 6,332.70

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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.