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Finding the Fourth Proportional to 4,209.70, 5,809.26 and 2,346.70

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Solution

The fourth proportional to 4,209.70, 5,809.26 and 2,346.70 is: 3,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.70 : 5,809.26 = 2,346.70 : x
  2. Step 2: Convert to fraction form
    4,209.70/5,809.26 = 2,346.70/x
  3. Step 3: Cross multiply
    4,209.70x = 5,809.26 × 2,346.70
  4. Step 4: Simplify right side
    4,209.70x = 13,632,590.44
  5. Step 5: Solve for x
    x = 13,632,590.44/4,209.70
  6. Step 6: Final answer
    x = 3,238.38

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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.