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Finding the Fourth Proportional to 3,857.85, 5,789.54 and 1,668.15

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Solution

The fourth proportional to 3,857.85, 5,789.54 and 1,668.15 is: 2,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.85 : 5,789.54 = 1,668.15 : x
  2. Step 2: Convert to fraction form
    3,857.85/5,789.54 = 1,668.15/x
  3. Step 3: Cross multiply
    3,857.85x = 5,789.54 × 1,668.15
  4. Step 4: Simplify right side
    3,857.85x = 9,657,825.32
  5. Step 5: Solve for x
    x = 9,657,825.32/3,857.85
  6. Step 6: Final answer
    x = 2,503.42

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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.