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Finding the Fourth Proportional to 3,705.78, 5,558.38 and 1,513.92

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Solution

The fourth proportional to 3,705.78, 5,558.38 and 1,513.92 is: 2,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.78 : 5,558.38 = 1,513.92 : x
  2. Step 2: Convert to fraction form
    3,705.78/5,558.38 = 1,513.92/x
  3. Step 3: Cross multiply
    3,705.78x = 5,558.38 × 1,513.92
  4. Step 4: Simplify right side
    3,705.78x = 8,414,942.65
  5. Step 5: Solve for x
    x = 8,414,942.65/3,705.78
  6. Step 6: Final answer
    x = 2,270.76

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1.5x scale

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.