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Finding the Fourth Proportional to 5,346.56, 7,974.27 and 5,011.66

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Solution

The fourth proportional to 5,346.56, 7,974.27 and 5,011.66 is: 7,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.56 : 7,974.27 = 5,011.66 : x
  2. Step 2: Convert to fraction form
    5,346.56/7,974.27 = 5,011.66/x
  3. Step 3: Cross multiply
    5,346.56x = 7,974.27 × 5,011.66
  4. Step 4: Simplify right side
    5,346.56x = 39,964,310.05
  5. Step 5: Solve for x
    x = 39,964,310.05/5,346.56
  6. Step 6: Final answer
    x = 7,474.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.