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Finding the Fourth Proportional to 3,805.29, 5,708.43 and 1,339.65

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Solution

The fourth proportional to 3,805.29, 5,708.43 and 1,339.65 is: 2,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.29 : 5,708.43 = 1,339.65 : x
  2. Step 2: Convert to fraction form
    3,805.29/5,708.43 = 1,339.65/x
  3. Step 3: Cross multiply
    3,805.29x = 5,708.43 × 1,339.65
  4. Step 4: Simplify right side
    3,805.29x = 7,647,298.25
  5. Step 5: Solve for x
    x = 7,647,298.25/3,805.29
  6. Step 6: Final answer
    x = 2,009.65

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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.