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Finding the Fourth Proportional to 5,367.84, 7,411.80 and 3,694.77

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Solution

The fourth proportional to 5,367.84, 7,411.80 and 3,694.77 is: 5,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.84 : 7,411.80 = 3,694.77 : x
  2. Step 2: Convert to fraction form
    5,367.84/7,411.80 = 3,694.77/x
  3. Step 3: Cross multiply
    5,367.84x = 7,411.80 × 3,694.77
  4. Step 4: Simplify right side
    5,367.84x = 27,384,896.29
  5. Step 5: Solve for x
    x = 27,384,896.29/5,367.84
  6. Step 6: Final answer
    x = 5,101.66

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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.