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Finding the Fourth Proportional to 5,731.26, 7,910.54 and 3,494.37

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Solution

The fourth proportional to 5,731.26, 7,910.54 and 3,494.37 is: 4,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.26 : 7,910.54 = 3,494.37 : x
  2. Step 2: Convert to fraction form
    5,731.26/7,910.54 = 3,494.37/x
  3. Step 3: Cross multiply
    5,731.26x = 7,910.54 × 3,494.37
  4. Step 4: Simplify right side
    5,731.26x = 27,642,354.12
  5. Step 5: Solve for x
    x = 27,642,354.12/5,731.26
  6. Step 6: Final answer
    x = 4,823.08

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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.