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Finding the Fourth Proportional to 5,463.59, 7,539.74 and 3,105.73

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Solution

The fourth proportional to 5,463.59, 7,539.74 and 3,105.73 is: 4,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.59 : 7,539.74 = 3,105.73 : x
  2. Step 2: Convert to fraction form
    5,463.59/7,539.74 = 3,105.73/x
  3. Step 3: Cross multiply
    5,463.59x = 7,539.74 × 3,105.73
  4. Step 4: Simplify right side
    5,463.59x = 23,416,343.48
  5. Step 5: Solve for x
    x = 23,416,343.48/5,463.59
  6. Step 6: Final answer
    x = 4,285.89

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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.