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Finding the Fourth Proportional to 5,046.46, 7,571.79 and 2,705.87

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Solution

The fourth proportional to 5,046.46, 7,571.79 and 2,705.87 is: 4,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.46 : 7,571.79 = 2,705.87 : x
  2. Step 2: Convert to fraction form
    5,046.46/7,571.79 = 2,705.87/x
  3. Step 3: Cross multiply
    5,046.46x = 7,571.79 × 2,705.87
  4. Step 4: Simplify right side
    5,046.46x = 20,488,298.34
  5. Step 5: Solve for x
    x = 20,488,298.34/5,046.46
  6. Step 6: Final answer
    x = 4,059.94

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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.