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Finding the Fourth Proportional to 5,732.82, 7,910.10 and 3,746.30

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Solution

The fourth proportional to 5,732.82, 7,910.10 and 3,746.30 is: 5,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.82 : 7,910.10 = 3,746.30 : x
  2. Step 2: Convert to fraction form
    5,732.82/7,910.10 = 3,746.30/x
  3. Step 3: Cross multiply
    5,732.82x = 7,910.10 × 3,746.30
  4. Step 4: Simplify right side
    5,732.82x = 29,633,568.08
  5. Step 5: Solve for x
    x = 29,633,568.08/5,732.82
  6. Step 6: Final answer
    x = 5,169.11

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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.