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Finding the Fourth Proportional to 4,187.16, 5,762.94 and 3,591

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Solution

The fourth proportional to 4,187.16, 5,762.94 and 3,591 is: 4,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.16 : 5,762.94 = 3,591 : x
  2. Step 2: Convert to fraction form
    4,187.16/5,762.94 = 3,591/x
  3. Step 3: Cross multiply
    4,187.16x = 5,762.94 × 3,591
  4. Step 4: Simplify right side
    4,187.16x = 20,694,717.54
  5. Step 5: Solve for x
    x = 20,694,717.54/4,187.16
  6. Step 6: Final answer
    x = 4,942.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.