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Finding the Fourth Proportional to 5,874.66, 8,107.05 and 3,185.88

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Solution

The fourth proportional to 5,874.66, 8,107.05 and 3,185.88 is: 4,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.66 : 8,107.05 = 3,185.88 : x
  2. Step 2: Convert to fraction form
    5,874.66/8,107.05 = 3,185.88/x
  3. Step 3: Cross multiply
    5,874.66x = 8,107.05 × 3,185.88
  4. Step 4: Simplify right side
    5,874.66x = 25,828,088.45
  5. Step 5: Solve for x
    x = 25,828,088.45/5,874.66
  6. Step 6: Final answer
    x = 4,396.52

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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.