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Finding the Fourth Proportional to 4,627.87, 6,942.24 and 1,705.79

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Solution

The fourth proportional to 4,627.87, 6,942.24 and 1,705.79 is: 2,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.87 : 6,942.24 = 1,705.79 : x
  2. Step 2: Convert to fraction form
    4,627.87/6,942.24 = 1,705.79/x
  3. Step 3: Cross multiply
    4,627.87x = 6,942.24 × 1,705.79
  4. Step 4: Simplify right side
    4,627.87x = 11,842,020.93
  5. Step 5: Solve for x
    x = 11,842,020.93/4,627.87
  6. Step 6: Final answer
    x = 2,558.85

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Why These Related Problems?

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