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Finding the Fourth Proportional to 3,899.48, 5,849.24 and 1,708.40

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Solution

The fourth proportional to 3,899.48, 5,849.24 and 1,708.40 is: 2,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.48 : 5,849.24 = 1,708.40 : x
  2. Step 2: Convert to fraction form
    3,899.48/5,849.24 = 1,708.40/x
  3. Step 3: Cross multiply
    3,899.48x = 5,849.24 × 1,708.40
  4. Step 4: Simplify right side
    3,899.48x = 9,992,841.62
  5. Step 5: Solve for x
    x = 9,992,841.62/3,899.48
  6. Step 6: Final answer
    x = 2,562.61

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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.