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Finding the Fourth Proportional to 5,092.34, 7,640.48 and 1,805.46

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Solution

The fourth proportional to 5,092.34, 7,640.48 and 1,805.46 is: 2,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.34 : 7,640.48 = 1,805.46 : x
  2. Step 2: Convert to fraction form
    5,092.34/7,640.48 = 1,805.46/x
  3. Step 3: Cross multiply
    5,092.34x = 7,640.48 × 1,805.46
  4. Step 4: Simplify right side
    5,092.34x = 13,794,581.02
  5. Step 5: Solve for x
    x = 13,794,581.02/5,092.34
  6. Step 6: Final answer
    x = 2,708.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.