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Finding the Fourth Proportional to 3,914.84, 5,874.80 and 1,695.84

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Solution

The fourth proportional to 3,914.84, 5,874.80 and 1,695.84 is: 2,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.84 : 5,874.80 = 1,695.84 : x
  2. Step 2: Convert to fraction form
    3,914.84/5,874.80 = 1,695.84/x
  3. Step 3: Cross multiply
    3,914.84x = 5,874.80 × 1,695.84
  4. Step 4: Simplify right side
    3,914.84x = 9,962,720.83
  5. Step 5: Solve for x
    x = 9,962,720.83/3,914.84
  6. Step 6: Final answer
    x = 2,544.86

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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.