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Finding the Fourth Proportional to 3,911.66, 5,838.10 and 3,382.22

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Solution

The fourth proportional to 3,911.66, 5,838.10 and 3,382.22 is: 5,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.66 : 5,838.10 = 3,382.22 : x
  2. Step 2: Convert to fraction form
    3,911.66/5,838.10 = 3,382.22/x
  3. Step 3: Cross multiply
    3,911.66x = 5,838.10 × 3,382.22
  4. Step 4: Simplify right side
    3,911.66x = 19,745,692.48
  5. Step 5: Solve for x
    x = 19,745,692.48/3,911.66
  6. Step 6: Final answer
    x = 5,047.91

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1.5x scale

Why These Related Problems?

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