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Finding the Fourth Proportional to 3,874.86, 5,807.97 and 1,680.30

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Solution

The fourth proportional to 3,874.86, 5,807.97 and 1,680.30 is: 2,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.86 : 5,807.97 = 1,680.30 : x
  2. Step 2: Convert to fraction form
    3,874.86/5,807.97 = 1,680.30/x
  3. Step 3: Cross multiply
    3,874.86x = 5,807.97 × 1,680.30
  4. Step 4: Simplify right side
    3,874.86x = 9,759,131.99
  5. Step 5: Solve for x
    x = 9,759,131.99/3,874.86
  6. Step 6: Final answer
    x = 2,518.58

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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.